{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 案例1: 给定一个二维数据集，使用kmeans进行聚类\n",
    "## 数据集：data/ex7data2.mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.io as sio\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "dict_keys(['__header__', '__version__', '__globals__', 'X'])"
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data1 = sio.loadmat('./data/ex7data2.mat')\n",
    "data1.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "(300, 2)"
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = data1['X']\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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fnV6GpZu4a4QolUkFFtdddx3+8Ic/4Morr8Rnn32GJ554Atdffz3ef/99FBaqT1bBYBDB4KXJtbm52dqIPcbpg8ZkJ0C120evhXeEQmhoNjdxi59zITqpxN4uHoWB4e+HTK2AWnGnWsDR0NyGBa9UC4+nPtCG76+OrEtJZC2GVhDFXSNEJBVY3HLLLV3/PWLECEyYMAGDBw/G73//eyxcuFD1PpWVlTEFn6nE6YPGZAOS6NurFUDqnUyqR+aciwmDC/H8Gx8aXlNt8nHy1M/o98OuDpPRAcculSUeWdG9N+JNLYjirhEisnRsem5uLkaMGIHDh7WbAz388MMIBAJdf44fP27lIT0nPc2H20aW6NYDWDlwSglcjKgdVa5VAHnmvFgHyejjv8OPlDcy/orCrvoDLb26Z2D8FbGBhVEBoVnRgZHW62NHrYAdz8Gu4l87OZ2hIyL3sxRYBINBHDx4ECUl2hNJVlYW8vPzI/4ku/aOEHYdacT66hN4buthrNhRp3nb791YimnlJRH3kSnWU4rpRCao8ADGSgGkEqTsfngK/uufr8P8SYMxf9IQ/OIbIzG1rFh43E9/bYTubULo3Pqpdl8ruzC0hAdGIn08rEzodj0Hq8W/dhPdNcIj4YmSl9RZIf/+7/+OGTNmYMCAATh58iSeeOIJbN++HQcOHMDAgQOFrpHsZ4XI9lboLMobpnu8utXHVbuW6Hkm0cLPgwBgeZlgc009Fv/5gGqWxOjsCdnXOvraxf5s/OLrI3GqNRhTOxGv816sPIdwz901CjNH9bN0DbvE4+A7Ioo/R84K+eSTTzBr1iycOnUKl112GcaPH4/du3cLBxXJTqultJ7Oorz9MT+XXT8PL6b79Mx5VB8/DQAYVJiLeycMQma3yOSU6Bp3z5yMiElfaXgFQOjMDSMdHUBAY+nFaBeB8pzve3kPdhwW22US7rEZZTE7ThRO1gpEF4Nu/+Ek7Pv4dFf3UL3dIlrctLSgt2vErY2/iMg+UoHF2rVrnRqH59ndW8HM1rz0NB8C5y/gF//zQcQ/6L/ZWRfzD7roRPTC3aORluaLqPwHgInLtukuEzyyrgaTr+oTE9CE21xTH7PTQe16ersIttQ2SAcVhbmZePKOct0JzqlaAb1i0Duu6YecjDTpI9utFP86xcrBd0TkbZZqLOgSJ3oryK6fyxQbiq6Fj//iJNGZo/p1NbwSea6NrRcwvnKrZoGjEoiJ0tomK3MNoLPgdNfDNxl+ax4zsFdMcWo4M7UCWu9PeGdU5dt+fo5YzB+CteJfJym7RsI/O0SU/BhY2MTJ7XMi15YtNhTpoKg1YYk+16bWi5q7J2QDMbXMgOw1fACeumOEahYluuD2xp+9obkkIbOtNvz6ehmtECLfn8D5z4Wuu2DKUC4tpBCzRd5E8cTTTW0imxLXO5zMzLXNNCYyuxYu+1zVlnNkArHwzEB4fcLhz1qEr9GrewYqvzbCliJQM7UCIkFQfaANu480SmVhBhXlCt+WvM2unipETmNgYRPZEy7D2x/b0TzLbLGhmbVwmeeqVSMhE5yE95Uws4Pi66P7YdnXR6o+J9mC28LcTGz/4STd2hE1DYHzQrd758gpy5kcSj5an9NEN0kjUsPAwiZ6R6Urf18wZSgGFeVGTN5padC8DyCebrdSbKjWQVGP0vTr1zr9OaJFBzQiwUmaD3h+1jWYVl5iascN0PmNbtnXRwLo3EIaXYQqW3Db2HoB+z4+Lb3FNPoEUy2fnhELQAD2g0gVRsucPH+F3IaBRRSZcyGi7+fPycR3KwZhXfWJiPV5vdS5XVvznG4dHm5zTb1u0y810QGNXiCmeH7WaNx6tX6zKi3hgZnaIWAl/mzcde0AUwW3ZuppCnpkCd2ub68c4WvGs2jT7P8XZB3PXyGvYWARxuwaptr9CnIzcfuovphaVmz4j7AdW/OMMiaAPROR7CSvF9BoBVXRr7mZHTci/Tae2XpI6poKM8sPxfli97n+iiK8WnVCIJMTv9Q31/YTi+evkNcwsPiC2TVMrfudbr2Al98+KhwgyC5HqIlHYyKZSV4koBEJqkT/wZw/aQiG9ukh1W9DhpWsj5JR0nvtlO29xpmca3Dr1fELKri2n1g8f4W8hoEFzK9hunHt02iivvB5B/646yg+bjqHgQXdVbty6pH5ViQa0BgFVaL/YFYMKYo5QdSu3iJWsz7hGSVAPWB4dPowpKf5hDM5TnPj5zsVxXOZk8gODCxgfg3TrWufWhN15Wu1WPlWHcK3vj/52kHMuaEUD99aJnRt0Un+0enD8J2KUlsmHJFCz17dM2L+YZUJgoy2/9qR9dEKGBRLNx1E2heBhRs6V7r1851q4rXMSWQXNsiC+TVML619Vr5Wi1/viAwqAKAjBPx6Rx0qXxPrnSBy3HdBbgYKemRhT12TLQ18lH9Y9a50+tzFmJNQRYOgBVOGojjq6Pni/CwsmDIUz901CmvmjMfORZNtyRRMKy/Bo9PVg7joDqmJ7lzppc93slOC0pjPadiJvERuwYwFzK9hunXtM7qCf1T/nlj5lv4ujpVv1eHfbr7KcFlEZDdHU+tFLHilGoB96fupZcXo2T0DZ85pd8OMTsuLppDnTx6K+ZOHxiU70N4RwtJN6kGc25YX3Pr5TlVuyGIRiWBgAfNrmG5c+1Sr4M/L7haTqYjWEQL+uOso/vmGKwwfwyilH06kyE9kK+OeuibNoALQTsvfde0A1d0failkp9L54c/vVEvQM8sLbvx8pzo7iryJnMbAAubXMN229qlVwd/SJnbuxMdN54QfK/zbU0PgPJZuOqjaBEoZy+JXDyAvKwPjo1L6r733KX68viai74dalkM2LW/UpTNeR3ib7RbqhuUFt32+icgbWGPxBbNrmG5Z+7Tj2PaBBd01r6128JHy7anYn2PYWfLMuYu456W/Y+KybV01BJWv1eL7q/fHHPZVH4g9jVUmLa91iqhiwZShttVM6DEahx63LC+45fNNRN7BjEUYs2uYblj7tOPY9j4qk5lIcySZb9fK0si/3FCqW/ehnPap1BqIpuXHDOyFL//8Dc0Aywdg7d7jmD95qPCYzTAb6LlxecENn28i8g4GFlHMrmEmeu3TjtT5A2v3o1s3X1fAINocSebbtXKtl3YatwQPrzUQTcvv+/i0K2oYzAR6bl5eSPTnm4i8g0shScKu1PmSjbVo7wgZNkcKv63IFtRoortQwwMmkbS8W7ZImrk+lxeIKBkwY5EkRJYKCnIz0ahTCxH+bR5f/LfIbScItKE2KzpgMkrLu2WLpEwjsaK8LC4vEFHSYMYiSShLBQBiMgfK32eO6it0rZMtbdLf/LWyCVYU5MZ20wT0G0cZZU98iM9x46Lj+E5FacIaYBEROYGBRRIxWiqYWlYsdJ3eedmmvvlPKy/BzkWT8V//ch165mTo3k9kDn1iZrn0ZCsSYMWjhsEt4yAiijcuhSQZvaWC9o6QVMMjM82R0tN8qBhShKfvHKF64JYyjc65oRQrdtRpLpv8642luPVqsQxLtHic8uqlcRARxZMvFArZuSRuqLm5GX6/H4FAAPn5+fF8aMKlnR6A+oQfXjwoc1utx9Lbqqr2+8LcTCydWW7LseAiHT3jwS3jICKyQnT+ZmCRgkR6U5i5rRqjSdXq74mIKD4YWJAumQk7UZO7WlDTMycD91UMwvzJQxlgEBHFEQML8jSt5lyKnt0z8PTXRrBOgYgoTkTnb+4KIdcRaYd95tzFmPNEiIgo8RhYkOuItsNWzhNpF23jSUREjmNgQa4j0w47vFMoERElHgMLch3ZdttOn/tBRETiGFiQ6yjtsEU5fe4HERGJY2BBrhPeDltPvM79ICIicQwsyJWmlZfgxdmj0bO7+pkjPG+DiMidGFiQa00rL8G+H0/FgilXxhxqphysxj4WRETuwgZZ5Als7U1ElFii8zdPNyVPSE/zYcLgwkQPg4iIDHAphIiIiGzDwIKIiIhsw8CCiIiIbMPAgoiIiGzDwIKIiIhsw10hREQWcCs0USQGFkREJm2uqceSjbWoD1w6CK/En43HZpSxeRulLC6FEBGZsLmmHvevqooIKgCgIdCG+1dVYXNNfYJGRpRYDCyIiCS1d4SwZGMt1NoWKz9bsrEW7R1xbWxM5AoMLIiIJO2pa4rJVIQLAagPtGFPXVP8BkXkEqyxIMexuI2SzckW7aDCzO2IkgkDC3IUi9soGfXOy7b1dkTJhEsh5BgWt1GyGldagBJ/NrTybj50BtDjSgviOSwiV7AUWFRWVsLn8+Ghhx6yaTiULFjcRsksPc2Hx2aUAUBMcKH8/bEZZVzyo5RkOrDYu3cvVqxYgauvvtrO8VCSYHEbJbtp5SVYPns0iv2Ryx3F/mwsnz2aS32UskzVWJw9exb33HMPVq5ciSeeeMLuMVESYHEbpYJp5SWYWlbM4mSiMKYyFvPmzcP06dMxZcoUu8dDSYLFbZQq0tN8mDC4EDNH9cOEwYUMKijlSWcs1q5di6qqKuzdu1fo9sFgEMFgsOvvzc3Nsg9JHqQUtzUE2lTrLHzoTBmzuI2IKLlIZSyOHz+OBx98EKtWrUJ2ttg3zcrKSvj9/q4//fv3NzVQ8hYWtxERpSZfKBQSLsv/7//+b9xxxx1IT0/v+ll7ezt8Ph/S0tIQDAYjfgeoZyz69++PQCCA/Px8G54CuRn7WBARJYfm5mb4/X7D+VsqsGhpacHHH38c8bP77rsPV111FRYtWoTy8nLbBkbJg503iYi8T3T+lqqxyMvLiwkecnNzUVhYKBRUUGpSituIiCj5sfMmERER2cbyWSFvvvmmDcMgIiKiZMCMBREREdmGgQURERHZhoEFERER2YaBBREREdmGgQURERHZhoEFERER2YaBBREREdmGgQURERHZhoEFERER2YaBBREREdmGgQURERHZhoEFERER2YaBBREREdmGgQURERHZhoEFERER2YaBBREREdmGgQURERHZhoEFERER2YaBBREREdmGgQURERHZpluiB0BERORW7R0h7KlrwsmWNvTOy8a40gKkp/kSPSxXY2BBRESkYnNNPZZsrEV9oK3rZz1zMnBfRSnmTx7CAEMDl0KIiIiibK6px/2rqiKCCgA4c/4intl6CGOe2ILNNfUJGp27MbAgIiIK094RwpKNtQjp3ObMuYuYu6qKwYUKBhZERJQy2jtC2HWkEeurT2DXkUa0d8SGD3vqmmIyFVqWbKxVvUYqY40FERGlBLWaiRJ/Nh6bUYZp5SVdPzvZIhZUAEB9oA176powYXChrWP1MmYsiIgo6WnVTDQE2nD/F0saSjbj8Gdnpa4tE4ikAmYsiIgoruK9hVOvZiIEwAdg8asH8PiGWjQ0ywcJvfOyrQ4xqTCwICJKUonqwaD3uKLLEXYyqpkIobMYE7godV0fgGJ/5/OjSxhYEFHSSIZmRuHPoahHFhACTrUGpZ9PIiZwo8cFgPtXVcVkDpTliOWzRzsyNieWKpR34bEZZZ77jDmNgQURJYVETaR2UnsO4USfj1JPEO8JXO9x566qQs/uGbrLEUs21mJqWbHtE7UdSxW5melovdDe9fdij3224skXCoXiuk+mubkZfr8fgUAA+fn58XxoIkpSWhOaMj05NZHaSes5hBN5Pu0dIUxctk0zOFHS9zsXTbY8gUdnV/7tT9VoaA5auuaaOeNt32GhvCYNgTbd11fPM/80CsX52Z7OhlklOn8zY0FEniZSmOfUN2G7iDRkAvSfjzLJv/3hKcN6AtEtkrK1EnZwYtkiPc2Hx2aU4f5VVfABpoKL4vxsbikVxMCCiDxNpDDP7b0GZBoyqT0fM5O80QRuplbCDk7tsJhWXoLls0fHPKfi/Cy0fd6BwLmLqs+HBZryGFgQkaeJfsN1c68BM2NT7iOyhKJGbwI3WythRTwm8GnlJZhaVhyThdlS26CazWCBpjlskEVEnib6DdfNvQbMjK13XrbwEkq0Ep0J3GhpCVC2ZsrxAejZPQM+XJqww38HxGcCT0/zYcLgQswc1Q8TBhciPc3Xlc0o9ke+D8X+bE/U57gNMxZE5GnjSgtQ4s/WLMzzQirb6DlE69k9A+NKC6SWUMLdNrJEcwI3e009yiM9/bURABC7HKGxwyKe24e1shnMVMhjYEFEnqZXmOfGVLbWZKk8BxHKMzG7vLPh3Xr8n2nDVF8TJ5aMogMHkQlcZPuw3YGHks0gaxhYEJHnaRbmuazXgNFkuXz2aPxo3QE0teovNZw+dxF76ppML+/oFbPauWQ0f9IQVAwpipnwjSZwkT4cQGzmw2t9S5IVAwsiSgpuT2WLNq06f7EDC16pNrzeyZY2fPXqvlJLKBGPq3EmhsjSkj+nG86c/1z3+gW5GRjcu4fkqMRqPBa/ekB1F4fTDcBIDIs3iShpqBXmuYHIZLlkYy3aO0IozhcvRlWWUIDYgkgjTWfVG1npXbNrqcln/GhNrRex4JVqzFq5GxOXbcPmmvqY2yinia6vPoFdRxq7ljaMajzOaGwNjX4t3Ubt+SYjZiyIiBwm02tDthh1WnkJXrh7NH68vgZNrReEx1SQm6n5O62lJX/3DJw5d1F6V4haJkFrWeiW8mKpa0dza9+SZGg5L4oZCyIih22tbRC6XUPgPPbUNeHW8mLNoAKILEbdXFOPpZtqpYIKACj25+j+flp5CXYumow1c8bjubtG4b/++Tpkd0vXvY9WIiM6k6AsC0UHWw2BNvz27aOCz0Cfm/qW6D3f+1dVqWZzvIwZCyIiB7V3hLCu+oTQbZduOhgRIKT5gPBseXQx6uaaeswV3EkSTq+PRbjwIstdRxo16zIUeidPKZmE3R81GrZgV/7bCrf0LUmGlvOyGFgQETloT12T4S4PRXTWQZmov1sxCFPLiiOKUds7Qlj86gHp8fhgbvutXRmAXUcaDZeFrHBb35JkaDkvi0shREQ2USvOszIhK99oX69piNnh8vy2D6VrHUosdJK0LwPgXMGiG/uWJEPLeVnMWBCRa8Wz86JVWsV5d107wNJ1w5cQ0ny+riPKf7vzI6H731LeB9PKSyy/fiJFpb6opZvo3xf7s4UfvyA3E6dbL2g+Vs/uGcjqlhZxTLvb+pYAydFyXpYvFNJbFbOf6HnuRJTavFRFr9WjQplCRfo+GOmZk4Ez5+XP6CjMzcSeR6bYEpApzxNQ73D6vRtLsWJHne7vf/3F7/X06p6Br4+5HCvfUr+tD8Dy2aNd3bdE0d4RwsRl2wx3+excNNl1Y48mOn9zKYSIXMdLVfRGxXkhAAGLQQUAU0EFADS2XsCeuqauv1vppWB0WNfDt5Zp/v6Fu0djw7ti79vpcxc1gwqgM0CZVl7i2r4l4Yz6ggDuWrqxA5dCiMhVvFZFL9LQSW/qnnPDIPzlvQZT3TNFvf3hqa7jwa1mgYw6nGr93s7DzfTOOnEjr7Sct4tUYLF8+XIsX74cR48eBQAMHz4cP/nJT3DLLbc4MTYiSkFurKLXq/WwWnS38d16/OSrwzFvdewhanZ5/o0PservH6sWe5ppg2101ofa7+0sTlR7/91ej+P2lvN2kgosLr/8cjz99NMYMmQIAOD3v/89Zs6cif3792P48OGODJCIUovbquiNaj2sFt01NAfRKzdT9Rttzy86XdpB6zrxygLZXZwY/v5bqceJZ0CSKqenSgUWM2bMiPj7k08+ieXLl2P37t0MLIjIFm6qohc5OGxqWbHpg8AUJ1vaMHNUv5hvtB0dIdzz0t+tPg1DShbod2/X4TsVpY5MrMquEruWQ5T3X/RwNzVeKhD2EtPFm+3t7Vi7di1aW1sxYcIEzdsFg0E0NzdH/CEi0qJMQFpTmw/inSOtED04DIDpg8AUyiQZXYx4bWkB4pkpX7rpoOaBYVaFFzFaEf7+yxzuFs1LBcJeIx1YHDhwAD169EBWVhbmzp2LdevWoaxM+8NSWVkJv9/f9ad///6WBkxEyc0tVfQytR5auyVEhlicn6UZJO37+LRmXwinODmxTisvwYIpQy1fR3n/Zd6jcFYCEjImHVh86UtfQnV1NXbv3o37778f3/72t1FbW6t5+4cffhiBQKDrz/Hjxy0NmIiSn9G2xnikqRsC54Vup6z1Rx/atWbOeDw/6xrD+z9+23DNIEm2jsSOUMvKxCqylXX+5KHCR8NHK8jNiHj/zdbjmA1ISIz0dtPMzMyu4s2xY8di7969eO655/DrX/9a9fZZWVnIysqyNkoiSioiBXOJrKLvPDH0oNBtj55q7fpvteK8F9N8WPzqgZjiyZ7dM/D010boBkmydSQhdE6+p1svWtpdYmbnjWi9QnqaD4/fVqbaaEtPYW4mdj18EzK7pXV9fg5/1iJ03+jX0W0FwsnGch+LUCiEYDBofEMiIsgVzCWiil6rGFDLmj3HMH/yUM2ARwmQdn/UiF1HGgGEMOGKIowXaOhkpuDxjlH94n70uGwBpVZfBy0+AE/eUY7Mbmmqnx+9+6kdSBaPAmG3b391klRg8aMf/Qi33HIL+vfvj5aWFqxduxZvvvkmNm/e7NT4iCiJWKngjwe9tXctDc1Bw2/26Wk+VAwpQsWQIqnxKPUmMkej5+dk4IW7r8H8Nfst12ecagmivSOkOyGabWgWnpHaWtuAl3SCIaXTpkzQp1ePI3LuiZUTUlN9t4lUjcVnn32Ge++9F1/60pdw00034e9//zs2b96MqVOnOjU+IkoSXiiYM9sd0smU+bTyErw4ezT8OWLfA5/ZehiHT561pehTZJeIlXqF9DQfxpUW4LWaBt1xbHi3Hhc+75AK+vTqcawWCOvVknC3iWTG4qWXXnJqHESU5NzYUTOa2QDBKGUenhYv6pEFhIBTrUHhFLny7f7Btfvxl/f0JyYfgJcllkKMun0aZZOs1iuIBHP1gTb8cddRoaBv/qQhqBhSZPi6mm2zrZeNmFpW7Kl29E7hWSFEFBdeKJiTXVMXSZkb1QSIpsjT03x4/u7RGHLZITz7t8OatwtB/MCyHlnpyM1Mx2ctF3Sv5wPwyLoanL/QjmJ/TsSkbbVeQfT9/rjpnNDthvbpIRyYyhYIGy3lPTRlqOuD53hgYEFEcSE6AYXvsjAjumhuzMBe2PfxadWJQ+22ol00RVLmIjUBsvUlpZflGt4G6AwazgbbdW9zNtiOjHTjFfEQOk9JXfCndwEABbmZeGJmOW69usRyvYLo52JgQXeh28kGh6IFwiK1JKKZomTfbcLAgojiYlxpAYrzs9HQrP+PqtEuCz1q2YE0HyLqDZQMAQDVlPZtI0uwYked4RKBUcpctBBUNkUuOnHeMPQyvG5QuwB0HlEuq6n1Ar6/ugo3VV2Gf7lhMB6dPgzzVu+Pec1Egi/RwOTeCYPwm511jhVcGhFZyhPNFMWjHX0imW7pTUQkIz3Nh1njBhjeTtllIUuraC66iLEh0Ia5q6owV6PAbsWOOnzvxtKY5lwl/mw8eNNQzJ80GPMnDcEvvjESU8uKNccjUwgq05BJtOX57PEDhR7bir/97z8wa+VuLN10UPU1E2loJlpImdktzdGOrEbNvUSzDD1zMhLejj7RmLEgorgZVCSWzpZNFctsE9W7jZI92PBuPbb/cFLEEsrp1gtYuulShuP5Nz7UrY8wk+4WuY8yEd+/KvaY9fAJdvwVhbYe+qVHCcheuHs0euVmCvduUJaigp934KEpQ7FmzzE0NF/qixSdFTJbcGlEZHuoaJbhvopSPLv1kKnsTbJgYEFElok2A3KqMZHZbaJqlOzBvo9Pd629b66px7zVcv03zKS7Re8jOsEqAYjyvJyiBGRLN9Vi56LJMe+92udjS21D7Pjzs7FgypUYVNTd8Y6sypi0emhEv7eiSzbzJw/Bl4p72B78eAkDCyKyRKYZkFONiZwohlOuabYBlNFzDWfmeYtMsLIdLq3Q2vGg9vno2T0jpsU5AHzW3IZntx7C8tmjDRuOWdlVIdK9U+29FckUpaf5EtqO3g1YY0GUpEQOhLJKthmQUyeXOlEMp1zTbAMovecaTvR5q72f0cesq91fORzt0enDdEYRy5/TDXnZ8t89w4M8rc+HWlABxKdRmtaYtMYT/t7KHI4n8t4kK2YsiJJQPFoKW2nlbPc6uUx2wEh09sBK/w2RjIHI87b6fqan+VCUJ3cY5LI7r8bF9hAeWLNf6n6nWoJYX30CRblZeHyDXHt0wNleD2ZatgOR722qZyNEMLAgSjLxOo/DSidNu/9x1ktTRwv/vUiBndW6kOjnKtt50673UyarM/6KAkwrL8FzWw8J3wcAfD4InwprxInlLbO1ONGvXSIOx/MSBhZEScRsFsEMq5007f7HWSs7EN3HQskQALF9LNSyB3bUhZh9rna+n+NKC9A9Ix3nLuo3zQKA9z4J4LX3PsUzW7U7fKoJ2bh64cTylmyw4nRvjGTFwIIoicTzPI54HD0tSy0Totd5UyRrIlO0Z1X07omOjpBt72d6mg+3jijB/1v1ieE4zl1ox6JX35Mdvi2cnMxlPouptD3UbgwsiJJIPM/jcProabPUsgNak65oJsGp/gnhVHdP5GQI3Vf0/XzqayPw56pPhGoMWtqMMxuA8SFmMpyezGVqcVJpe6jdGFgQJZF4ZhHi+U3eDZws2tOqo7C7RXRmtzRMv7rE8IRUGWaCCuXzEr3t1OnJ3OgzGwLw3YpBmFpWzIJMCxhYECWReGcR4vFN3k2cKNozu1NBIdsi+rm7rsG2/z2JcxfEMhJ6bikvFjqPJJry+UjE7opU+8wmAgMLoiSSiCwCt99ZY7Vr6KPTh0m91ulpPvzHN0di7hcdOc0qzs/C7PEDhQKL3Mx0PDTlShT1yIw5dj0Ruyv4mXUWG2QRJRmZJj52SeVmQFZZrXfplSvXnwLo/Iy8OHs0SvzyS2K+L/48fttwjL+iED27G9eBtF5ox5OvHcTP/voBAucvuOLzwc+sc5ixIEpC/EbmHVbrXcwGJspn5Hdv10n1nghfMthcU6/ZRVON3b1UyJ0YWBAlKTbx8QarXUOtBCbpaT58p6IUv9lZp1uXU5CbiR9PHxaxjKHUhsiwu5cKuROXQoiIEkj0TJFoPsgXbso+vvL3J+8oxx2jL49YMjBbG6J1tgolDwYWREQJplUXo9Qv2Hlgm8zj69XlWK0NcaJlN7kDl0KIiOIourumsrSgVRezpbYhLlsjZetyrNaGxLMjK8UXAwsiojgxOqVUrS4mnoW4MnU5ZmtDeP5G8uNSCBFRHCjdNaPrEpSdEptrtLthunFrpJnakGTsyOom7R0h7DrSiPXVJ7DrSCPaO2w8FU4CMxZERA6L56mz8aTVxbLEn43bRpZgw7v1hks4WktDJMcoGxZPvlDIzoNujTU3N8Pv9yMQCCA/Pz+eD01ElBC7jjRi1srdhrdbM2e8J7cIawUHRkGDmyZDL9M6a0Z5pe3qGyI6fzNjQUTksHieOpsIWrUZejUbWpMhm2jJcWM2jDUWREQOi+eps15gNBkCnZNhomoEvMSon0gi+oYwsCAicpiyg0Lr+6Jdza68wo2ToVe5MRvGwIKIyGEi3S1TaaeEGydDr3JjNoyBBRFRHCTi1Fm3cuNk6FVuzIaxeJOIKE546mwno+ZabKIlTsmG3b+qCj4g4vVMVDaMGQsiojhKT/NhXGkBeudl42RLZx1BqhUpcmnIXm7LhrGPBRFRHLF3wyV8LezldLMx0fmbgQURUZzEq5GRk+yevNh50zvYIIuIyEXc2MhIlhMZBpmDz8gbWGNBRGSSzKFPXu/dYOUQNUotzFgQEZkg++3dy70bkiHbQvHDjAURkSQz39693LvB69kWii8GFkREEsyec+HGRkaivJxtofhjYEFEJMHst3cv927wcraF4o+BBRGRBCvf3t3WyEiUl7MtFH8s3iQikmD127sX23q7sW00uRczFkREEuz49q70bpg5qh8mDC70xITs1WwLxR8zFkREElL527sXsy0Uf2zpTURkAs+5oFTDlt5ERA7it3cidQwsiIhM4jkXRLFYvElERES2kQosKisrce211yIvLw+9e/fG7bffjg8++MCpsREREZHHSAUW27dvx7x587B7925s2bIFn3/+OW6++Wa0trY6NT4iIiLyEEu7Qv7xj3+gd+/e2L59O2688Uah+3BXCBERkffEZVdIIBAAABQUaDeCCQaDCAaDEQMjIiKi5GS6eDMUCmHhwoWYOHEiysvLNW9XWVkJv9/f9ad///5mH5KIiIhczvRSyLx587Bp0ybs3LkTl19+uebt1DIW/fv351IIERGRhzi6FPLAAw9gw4YN2LFjh25QAQBZWVnIysoy8zBERETkMVKBRSgUwgMPPIB169bhzTffRGlpqVPjIiIiIg+SCizmzZuH1atXY/369cjLy0NDQwMAwO/3Iycnx5EBEhERkXdI1Vj4fOo98F9++WV85zvfEboGt5sSERF5jyM1FnE+CJWIiIg8hmeFEBERkW0YWBAREZFtGFgQERGRbSy19Cai+GvvCGFPXRNOtrShd142xpUWID1NvbCaiCjeGFgQecjmmnos2ViL+kBb189K/Nl4bEYZppWXJHBkRESduBRC5BGba+px/6qqiKACABoCbbh/VRU219QnaGRERJcwsCDygPaOEJZsrIXahm/lZ0s21qK9g1vCiSixGFgQecCeuqaYTEW4EID6QBv21DXFb1BERCoYWBB5wMkW7aDCzO2IiJzCwILIA3rnZdt6OyIipzCwIPKAcaUFKPFnQ2tTqQ+du0PGlRbEc1hERDEYWBB5QHqaD4/NKAOAmOBC+ftjM8pM9bNo7whh15FGrK8+gV1HGlkASkSWsI8FkUdMKy/B8tmjY/pYFFvoY8G+GERkN6lj0+3AY9OJrLGr86bSFyP6HwDlSstnj2ZwQURdHDk2nYicIRMspKf5MGFwoeXH0+uL4UNnX4ypZcVsF05EUhhYECVYIpYjZPpiWA1iiCi1sHiTKIES1aabfTGIyCkMLIgSJJFtutkXg4icwsCCKEES2aabfTGIyCkMLIgSJJHLEU72xSCi1MbAgihBEr0cofTFKPZHXr/Yn82tpkRkGneFECWIshzREGhTrbPwoXOSd3I5Ylp5CaaWFWtudTXaBmtXTw0iSh4MLIgSRFmOuH9VFXxARHARz+UIrb4YRttg2bWTiNSw8yalHCe+ZVu5phsnaKOunN+7sRQrdtSxaydRChGdvxlYUEpxYhK345pagUkilhraO0KYuGyb7o6VNB+gtQtWWcLZuWgyl0WIkggDC6IoTpyN4eR5G4nKZOw60ohZK3dbvs6aOePZtZMoiYjO39wVQinBiWZUTja40urIWR9ow9xVVVi68X3Hjji3a3sru3YSpSYGFpQSnGhGZcc12ztC2HWkEeurT3QFCnoBi+Klt49i1srdmLhsm+1tv+3a3squnUSpibtCyBZu33boRDMqq9fUWuq469r+ugFLOOVMETuLJY22wQKdNRahEBK2TZaI3IuBBVnmVC2AncGKE82orFxTqzajIdCGZ7YeFh6DE0eci2yDnXND566QRG6TJSJ3YmBBluhNkFa+SZsJVvQCESeaUZm9pkhthgwnjjhXunJGvwfFYe/BNQN66f6eiFITAwsyzWiCNPtN2kywYhSIONGMyuw1jWozzDJTLKkXjBl15TT6PRGlJgYWZJpM8aLoN2kzwYpoICLyLVyWmWs6tVviVEsQ7R0hWxtzaXXljA5Ivnp1XwYURASAgQVZ4ERBpGywIhuIOPEtW/aaTu2WWLrpIH6zs04oSLKyhOXGTqFE5B7cbkqmOVEQKRusmNnymZ7mw7jSAvTOy8bJls7fWe0HoXyznzmqHyYMLtQNVJTaDCe+39d/ERjobUG10n9Dq79Gg+DjRm+tJaLkw4wFmeZEQaRssGIma5Lob9x6tRl2CEG/tkU0GNv9USMqhhR1/dxKTU2iX3Miih9mLMg0ZYIEEPPt22xBpNG3eR86JyQlWJENRES+ccfjm7VSm1Hsd2ZZRK8xl2gwNu+/IjMQZhuCWclyEJH3MLAgS7QmyGJ/Nl64+xr4czKlJmglWNG6ZQiRwYpMICKyBLD41QOoeHobZq3cjQfXVjvW3RLofO12LpqMNXPG41sTBtp+fa0AQjQYO3P+YsTEbyY75GTbcyJyJy6FkGVqxYunWy9g6SbnU98yWz53HWk0/MZ95txFABcjfu5Ed8vw8U8YXIg9dY22XhfQDiBEOmuGU5Y3zNTUyGQ5xpUWcOsqURJgYJEkEt1SO3xb4uaaesxbbW7HgfINV4sPwOMb3kdedgZOnQ2id142ppYVC235NLvN04nuluE219RLddsU0TMnAx2hkOr20/BgzEj0xG8UkJT4szFmYC/sOtKIky1tOPzZWaHxbqltwMI/VbMGgygJ8Nj0JOCmwrj2jhAmLtum+S1VKejcuWiy6gRt5sjugtxMfGv8QAwsykXT2SAKcjNR7M+JCa7sOA7c7qPAjV6vcD1zuuGGoUXY+F6D8PWL87Mxa9wADCrqHhNwbq6px+I/H8CZ8xcNrgI8d9cozBzVT3ObqmJqWW/UnGi2pQGYHUfPE5F9ROdvZiw8zqmW2mZZbZplJqvQ1HoBz/7t0jd+JaiKDlxklwDU2N3cSrQL54TSQtQ1tkoFFQDQ0NyGZ7Ye6vp7eMA5rbwEuZndcO9v9xheR1nemFZegu/dWIpf76hTvd2W2pNS4wM6DzRTK7FwOlNERM5g8aaHubEwriFwXuh2VgsL9cegvttAbxeLKLubW4kGKrvqGtHQrH7bO6/pC39OhtB1GgJtmLuqCj/d+D6e23oY//5/39W9ffQunPaOEDa8a08hq/Ie6H08zRxnT0SJxYyFhznRUluNXv1G+O+OnjqH3+86KnRNuwoL1eh901V2sSx+9cAXhZqX+L44ClyN3oFiVmpbrAYqPgBvHPoHAgLLGcClgPO3bx8VujYQuQvHznNOiv3ZuLW8GC8JjMWpNuhEZD8GFh7mREvtaHr1GwBifmfEqGmWXc2jjIKq6KAC0A8qgNieHHbUtiiBlNnJOgSgqVUsqJCldt6J1Ql+/qTBGNonrysI21PXJBRYHD11ztLjElH8cCnEw5xoqR1Or7HR3FVVmKvyOxFGTbPsbB4VPREa7ToBOtf8wxX7s2NqVexq+pSe5sNtI91ZmPiLr4+MCZCsZlgqhlwW0fZ8XGkBivOzDO+3du8x9rog8ghmLDzMiZbaCpH6DVkFuRl46o4RQt/mo3tjFOVm4YG1+9HUekHqMaMnQpFUfkcIeHT6MBTlZakub9h5XLxdNQsFuZk43XrB1vbgp1qDMT8zu1Sl9VlMT/Nh1rgBhttt7VjSI6L4YMbCw5xoqa2wcy1d8ehXh6sGFVottMMP9qoYWoQnZpYLP1Z00aFCNJVflJeleaCY2dbWas/TjtfZB2D2dQO6ghq7qGUnzBTAGn0WBxXlCl3n7Q9PMWtB5AHMWHicsmxg1BxKlhPFcsX5sROVTJ3CrVeX4F8/0d7qqNCbyOxYPrLr4LMeWekRh3yZFQLw/2z7ED27d+4MUasfkWGU6VI+c49vqI3YqVLiz8ZtI0uw4d16qc+i6Hvy/Bsf4s9Vn7BpFpHLSQcWO3bswM9//nPs27cP9fX1WLduHW6//XYHhkai1FpqW+28aee2Sq2JykwPjodvLcPIy3vix+trNIsW9SYys8tH4bs/TrXELhGoKeqRpfs8zwbb8df3PxO6lojAFwHFgilX4mJ7B55/40Ppa8hluiKfUSgUwjUDeuH/TBsm9VmUWV5JVH8WIhInHVi0trZi5MiRuO+++3DnnXc6MSYyIbylth3s2PYJaE9UVuoUbr26L75SXnKp/qJHFhDqrAkwmshEzxYB0NWW+uipVqzZcwwNzZcCCq2mTuH+7U/V+MlXy7B000Hbj0ZXo7xua/cew/YfTsKfqz6Rfv9EMl1agdJnzUFTk77MTiA2zSJyP0stvX0+n3TGgi29vUOZQIDYCTik8t9qtJY1RNtrG7XQNttHwmgbbXSa3wwr22WtWjNnPALnL6i+f+GK87O+aPmdK/T6WW3ZrkftPdFjd3t1ItLHlt5kmVH9BhDbx0J0orKjB4eVPhJay0dbahswV+BwLoVe5iKRZYYnW9owc1Q/1fevMDcTM0f1xdSyYuklMyebsinvyTNbPsDzbxwxvD2bZhG5k+OBRTAYRDB4KYXc3Nzs9EOSjYzqN8zWdlgtorTjjJTo5aP2jhAWv3pAaFwKuzcp5GalozXYbvk64Wd72Fl/43RTtvQ0HyqGXCYUWNjdXp2I7OF4YFFZWYklS5Y4/TDkIL36DbO1HVZ6cNjZRyLc7o8aLe+osMpqUKH2utlZf+NEU7bo5awxA3s51p+FiJzneGDx8MMPY+HChV1/b25uRv/+/Z1+WHI50SJKtcDAqXT8riONwrd1gj+nGwLnPzd9f6u9S0TY3ZRNaznrtpElWLGjTvqzQUSJ53iDrKysLOTn50f8IQK0W3ertdAO51w6Xm5dw4fOmpLi/GzNZlFKo645N5QaXu+7FVcIPW5hbib+9cZSlEi+bnaQbcqm1fwM0G+LvmJHHb53Y6n0Z4OIEk86Y3H27Fl8+OGl/fF1dXWorq5GQUEBBgwYYOvgKPmZqQGwMx0fnob352QKjxvoDEMev204AAhtX135lnZjr3+9sRTzJw/B2r3HdLeIFuRmYNfDNyGzW5p0vwirJ7EqRJuy6RXXTi0rNlzO2vBuPbb/cBL2fXzatv4sROQ86e2mb775JiZNmhTz829/+9v43e9+Z3h/bjclq5Qtj0bpeKMtj2oTn97R6Wpe/OLbs9EkqrdFU7ntzkWTsaW2QXOLLwDT39btOIk1ml6golVcqzyPh6YMNTwfBOCWUiI3EZ2/LfWxMIOBBdlBr8cGYDwBa018MqIDGK2JVrZnh91BgNEkb3Vp4cLnHfjjrqP4uOkcBhZ0x93XDcTkX76p2+vCn5OBM+eNC2Wfu2sUZo7qZ3psRGQf9rGgpKaVju+Vm4EnZpbrTpR6u0oUIp01o4tE1XZftHeE8PaH/xB4RpdqQuzcIurUDhpF5Wu1WPlWXcRr9cRrB3WzPiFAKKgAuKWUyIsYWJBnTS0rxv/Wt+A3Oz/C2S+2aTa1XsTSTQeRlubTDC5Ej06/fVRf/Hf1p4bj0CoSle0kGT6J2rVF1O4dNOFZmS21n+Ev78Ue+S6aA+2Zk4HA+YvcUkqUZBhYpBC7ivfcYHNNPRa/ekC174RRkyzR3SKX9+oudDu1b9UySy1OTqJ27qCRDZSM3FdRime3HuKWUqIkw8AiRThRvJcom2vqddtuG6X4RdPr3dJg+iRUo6WW8GsAzk2idu2gsaMmRaG8bvMnD8GXinsY7i4hIm9hYJEC7Gh/7RbKpG1EL8U/rrQAxfnZhoeMrd17HD/56nDMWy3XxEtkqUXh9CRq9FxFsiUygZKR6NfN7pbjRJR4jjfIosQyKt4DOr/Zt9t96IVDZCZtQD3Fn57mw6xxxj1XGpqD6JWbKd3ES3T5Yf6kIdi5aLJhUKHXZMrIltoGtH2u3iZcNFsi+5qHy8tOj/i72uum1JPMHNWvqwiWiLyLGYsk5+RplIkg201TK8U/qEisfkI5JVTmW3VRjyyha4tMolaWsIyWL3p2z0Dl10YYXsfsgWJpPmDPj6ai+vgZZiOIUggDiyTn9GmUsqwWkMpsPyzRSfHL1h5I7dIQTSho3E55jbbWNuClt4/G/F5kCUtk+SKrWxqmlhUbDtPsls85N5QiJzPdEwErEdmHgUWSc+I0SrPsKCA1OgRL4YN+it/uw7TCnWoNmr7d5pp6PL7hfTQ0a19DpP+EyPJFQ3NQKFMl+por0nydQcXDt5YJ3JqIkg1rLJKcMikYHZLldL8AvQOn7l9Vhc01sf0Q1OgdgqXo1T3DsCBV9jAtGWaDOWW3i15QoQhfwlJjZ6ZK5LX6+uh++NaEgXh0+jD879JbGFQQpTAGFknOyQlUlN0FpFqnovbMycCCKUPx//14aldQoVf4aPZ0VSNmgrn2jhAWv3pA+rG0AgO7M1V6r9WLs0fjF98chZ/OLMc/33AFMrvxnxWiVMalkBQgehqlU5woIBXZpiiy9OLEdkclmBM58XTXkUacbGnDyeY21WZfRrQCAyeWerg1lIhEMLBIEYmcFJwqINUrqJTp3WFX++xwRsEcAMMTT/UYBQaiwY3s+2/1tUpU99dk6jpL5HYMLFKIExOoiHgXkDp98JYorWBOORrdbOcQ0cAg0ZmqaInq/ppMXWeJvIDHppPj2jtCmLhsm2FaXjl+3CrZY8rjSXktrJy3ITspuuHbutNHt7vtcYmSEY9NJ9dwKi2vxW29O8JZ6WKZm5mOFfeOxXjJ7pSJylQpEpVBckvmiijVsHyb4sKpHRhq3NS7I5qVYOaX3xyJiqFFnpsEZYp39ci2NrfrcYlIDjMWFDfxKiB1svmVVWaCGa/WAyhLMK8L9ijRC7rM1Em4OXNFlMwYWFBcxSMtH++lFxkiQU+f/Cz88pujcOps0LM7GNQCASNaQZfZ03ndnLkiSmZcCqGkFM+lFxkiDcsev204KoYUefa0T60uq1r0ur9aaa7mlq6zRKmGGQtKWk4vvZjdbeG2baB2Ejn8LJxRBslKczU3Z66IkhkDC0pqTi29WO2N4NYulla3psruejEKpqzWSSRzEEfkVgwsyBPc0ItBYXbNP1qit4FGs6ORlGggcO/4ARhUmIuC3Ez4czLR3hFSfT/tqJNwaxBHlKwYWJDrualzold6I8gGYnYFS6KBwKYDDWhqvdD1d633064dPm4L4oiSGYs3ydXsOm7dLl7ojbC5ph4Tl23DrJW78eDaasxauRsTl23TfK3sPH3WqGBSER5UANrvpxtO5yUiOQwsyLVEJ7wLn3dINU6ywu29EcwEYnYGS3qBgB69AMatO3yISB2XQsi1RCe88ZVb0dR66chxJ5dJ3Nwbwewyjd3BklbBZEFuRsT7pDZGrR0erJMg8g4GFuRaohNZ9GQlWxcgw81dPc1uzXQiWFILBBqa27DglWrD+2q9716tk3BT4TFRPDCwINcy+63fySJKJdU/d1VVzO8SveZvNvPgVLAUHQjsOtIodL9k6oTppsJjonhhjQW5lmghoBqniyh7ds+I+Zm/e0ZC1/zNZh7iVSCZap0w3VZ4TBQvDCzItcwWAoazu4hSmSzOnIutFQio/MwJWqd8Wpm441EgmUo7POzcaUPkNVwKIVfTKgQszM1EY9SWRTV2ptVF2lU73cPCKLVupYV1PAokU6UTppVW5ERex8CCXE9twhszsBe+/PM34lpEmejJQrSJlZWJOx4Fkqmww8Pt25KJnMTAgjxBbcKL9wFTMpOF3TsBZLaSemHi9uoOD1Fu3pZM5DQGFkkgVbezxTutLjoJHD3VionLttm6E0A2W5LsE7fbuXlbMpHTGFh4XKpvZ4vnt3ORyaJn9ww8s/VwzO+s9tZgat1beGQ7pTLuCvEwbmfrpHw7nzmqX9e3dacex2hXg1Zhp9WdAMmUWtfa1ZJs2IqcUhUzFh7llVM2k43e8std1w7AM1sPad7XSnFnsqTWUy3D5oV6FyK7MbDwqETvUEhlWpPFX977VOj+ZpYrkiG1btfR7F7DehdKNVwK8SiuuSeW2vKL08sVXk6ts2EUUepgxsKjkmnNPVnEY7nCq6l1ZtiIUgczFh6VaucueEG8WlbHq1jVTsywEaUOBhYelUrnLniJl5crnMQMG1Hq4FKIh6XKuQte49XlCicly64WIjLmC4VCca2Wam5uht/vRyAQQH5+fjwfOmmlaudN8hZlVwigvqsllTM6RF4gOn8zsCCiuEm1PhZEyUR0/uZSCBHFDZeJiJIfAwsiiis2jCJKbtwVQkRERLYxFVj86le/QmlpKbKzszFmzBi89dZbdo+LiIiIPEg6sHjllVfw0EMP4ZFHHsH+/ftxww034JZbbsGxY8ecGB8RERF5iPSukOuuuw6jR4/G8uXLu342bNgw3H777aisrDS8P3eFEBEReY/o/C2Vsbhw4QL27duHm2++OeLnN998M9555x1zIyUiIqKkIbUr5NSpU2hvb0efPn0ift6nTx80NDSo3icYDCIYDHb9vbm52cQwiYiIyAtMFW/6fJF7zkOhUMzPFJWVlfD7/V1/+vfvb+YhiYiIyAOkAouioiKkp6fHZCdOnjwZk8VQPPzwwwgEAl1/jh8/bn60RERE5GpSgUVmZibGjBmDLVu2RPx8y5YtuP7661Xvk5WVhfz8/Ig/RERElJykO28uXLgQ9957L8aOHYsJEyZgxYoVOHbsGObOnSt0f2UTCmstiIiIvEOZt402k0oHFv/0T/+ExsZG/PSnP0V9fT3Ky8vx2muvYeDAgUL3b2lpAQDWWhAREXlQS0sL/H6/5u/jfrppR0cHPv30U+Tl5WkWfMZLc3Mz+vfvj+PHj3OJxuX4XnkH3ytv4PvkHW55r0KhEFpaWtC3b1+kpWlXUsT9ELK0tDRcfvnl8X5YXaz98A6+V97B98ob+D55hxveK71MhYKHkBEREZFtGFgQERGRbVI6sMjKysJjjz2GrKysRA+FDPC98g6+V97A98k7vPZexb14k4iIiJJXSmcsiIiIyF4MLIiIiMg2DCyIiIjINgwsiIiIyDYpHVj86le/QmlpKbKzszFmzBi89dZbiR4SRamsrMS1116LvLw89O7dG7fffjs++OCDRA+LDFRWVsLn8+Ghhx5K9FBIxYkTJzB79mwUFhaie/fuGDVqFPbt25foYVGUzz//HD/+8Y9RWlqKnJwcXHHFFfjpT3+Kjo6ORA9NV8oGFq+88goeeughPPLII9i/fz9uuOEG3HLLLTh27Fiih0Zhtm/fjnnz5mH37t3YsmULPv/8c9x8881obW1N9NBIw969e7FixQpcffXViR4KqTh9+jQqKiqQkZGB119/HbW1tfjlL3+Jnj17JnpoFGXZsmV48cUX8fzzz+PgwYP42c9+hp///Of4z//8z0QPTVfKbje97rrrMHr0aCxfvrzrZ8OGDcPtt9+OysrKBI6M9PzjH/9A7969sX37dtx4442JHg5FOXv2LEaPHo1f/epXeOKJJzBq1Cg8++yziR4WhVm8eDHefvttZmg94Ktf/Sr69OmDl156qetnd955J7p3744//vGPCRyZvpTMWFy4cAH79u3DzTffHPHzm2++Ge+8806CRkUiAoEAAKCgoCDBIyE18+bNw/Tp0zFlypRED4U0bNiwAWPHjsU3vvEN9O7dG9dccw1WrlyZ6GGRiokTJ+Jvf/sbDh06BAB49913sXPnTtx6660JHpm+uB9C5ganTp1Ce3s7+vTpE/HzPn36oKGhIUGjIiOhUAgLFy7ExIkTUV5enujhUJS1a9eiqqoKe/fuTfRQSMdHH32E5cuXY+HChfjRj36EPXv24Ac/+AGysrLwrW99K9HDozCLFi1CIBDAVVddhfT0dLS3t+PJJ5/ErFmzEj00XSkZWCiij20PhUIJP8qdtM2fPx/vvfcedu7cmeihUJTjx4/jwQcfxP/8z/8gOzs70cMhHR0dHRg7diyeeuopAMA111yD999/H8uXL2dg4TKvvPIKVq1ahdWrV2P48OGorq7GQw89hL59++Lb3/52ooenKSUDi6KiIqSnp8dkJ06ePBmTxSB3eOCBB7Bhwwbs2LEDl19+eaKHQ1H27duHkydPYsyYMV0/a29vx44dO/D8888jGAwiPT09gSMkRUlJCcrKyiJ+NmzYMPz5z39O0IhIyw9/+EMsXrwYd911FwBgxIgR+Pjjj1FZWenqwCIlaywyMzMxZswYbNmyJeLnW7ZswfXXX5+gUZGaUCiE+fPn49VXX8W2bdtQWlqa6CGRiptuugkHDhxAdXV115+xY8finnvuQXV1NYMKF6moqIjZsn3o0CEMHDgwQSMiLefOnUNaWuQ0nZ6e7vrtpimZsQCAhQsX4t5778XYsWMxYcIErFixAseOHcPcuXMTPTQKM2/ePKxevRrr169HXl5eV5bJ7/cjJycnwaMjRV5eXkzdS25uLgoLC1kP4zILFizA9ddfj6eeegrf/OY3sWfPHqxYsQIrVqxI9NAoyowZM/Dkk09iwIABGD58OPbv34//+I//wHe/+91ED01fKIW98MILoYEDB4YyMzNDo0ePDm3fvj3RQ6IoAFT/vPzyy4keGhn48pe/HHrwwQcTPQxSsXHjxlB5eXkoKysrdNVVV4VWrFiR6CGRiubm5tCDDz4YGjBgQCg7Ozt0xRVXhB555JFQMBhM9NB0pWwfCyIiIrJfStZYEBERkTMYWBAREZFtGFgQERGRbRhYEBERkW0YWBAREZFtGFgQERGRbRhYEBERkW0YWBAREZFtGFgQERGRbRhYEBERkW0YWBAREZFtGFgQERGRbf5/HG5ktAxEKBIAAAAASUVORK5CYII=\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0],X[:,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 获取每个样本所属的类别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_centroids(X,centros):\n",
    "    # 第i个点所属的簇\n",
    "    idx = []\n",
    "\n",
    "    # 对i个点\n",
    "    for i in range(len(X)):\n",
    "        # x[i]的维度  和 centros的维度（k个簇） Numpy有广播机制 自动扩张维度\n",
    "        # (2,) (k,2) -> (k,2)\n",
    "\n",
    "        # norm计算L2范数 “L2范数定义为向量所有元素的平方和的开平方”   axis=1 表示按行向量来进行处理，求多个行向量的范数\n",
    "        dist =np.linalg.norm((X[i] - centros),axis=1) #(k,)\n",
    "        id_i = np.argmin(dist)\n",
    "        idx.append(id_i)\n",
    "        \n",
    "    return np.array(idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "array([0, 2, 1], dtype=int64)"
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "centros = np.array([[3, 3], [6, 2], [8, 5]]) # 自定义三个簇中心\n",
    "idx = find_centroids(X,centros)\n",
    "idx[:3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 计算聚类中心点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_centros(X,idx,k):\n",
    "\n",
    "    # 外面大循环每次都会更新（清空）centros\n",
    "    centros = []\n",
    "\n",
    "    # 第k个簇\n",
    "    for i in range(k):\n",
    "        # axis=0 按行求每一列的均值（多个同簇的坐标，求每列=x轴y轴的平均值）\n",
    "        centros_i = np.mean(X[idx == i],axis=0)\n",
    "\n",
    "        centros.append(centros_i)\n",
    "\n",
    "    # 转成数组\n",
    "    return np.array(centros)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "array([[2.42830111, 3.15792418],\n       [5.81350331, 2.63365645],\n       [7.11938687, 3.6166844 ]])"
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compute_centros(X,idx,k=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.运行kmeans，重复执行1和2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [],
   "source": [
    "def run_kmeans(X,centros,iters):\n",
    "    \n",
    "    \n",
    "    k = len(centros)\n",
    "\n",
    "    # 存放每次迭代的中心点（后面绘制中心点的移动）\n",
    "    centros_all = []\n",
    "    centros_all.append(centros)\n",
    "    centros_i = centros\n",
    "    for i in range(iters):\n",
    "        # 找到归属\n",
    "        idx = find_centroids(X,centros_i)\n",
    "        # 计算中心\n",
    "        centros_i = compute_centros(X,idx,k)\n",
    "        centros_all.append(centros_i)\n",
    "\n",
    "    # print(centros_all)\n",
    "    return idx,np.array(centros_all)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 绘制数据集和聚类中心的移动轨迹"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_data(X,centros_all,idx):\n",
    "    plt.figure()\n",
    "    plt.scatter(X[:,0],X[:,1],c=idx,cmap='rainbow') # c=idx,cmap='rainbow' 根据该点所属的类别画不同颜色\n",
    "    plt.plot(centros_all[:,:,0],centros_all[:,:,1],'kx--')\n",
    "    # 绘制轨迹 centros_all返回的是三维数组（1：迭代次数因为每外层循环增加一个centros，2：簇数，3：特征数x轴y轴）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "idx,centros_all = run_kmeans(X,centros,iters=10)\n",
    "plot_data(X,centros_all,idx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 观察初始聚类点的位置对聚类效果的影响"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "def init_centros(X,k):\n",
    "    index = np.random.choice(len(X),k)\n",
    "    return X[index]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "array([[0.95311627, 5.58037108],\n       [3.00677254, 0.62519128],\n       [6.78110732, 3.05676866]])"
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "init_centros(X,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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FQT5gLt1pQn/ahGx+5pfGEd5kFkew7wRmAe2oT0WcZxSmNIZu98LcFyIfa3ywZQ5s/0v6jTjh88Knl8Oyz4PPs/YnWPOD9IzoeKP9OWY+Db8MDfQ8Adi+SJYqrv4+UEMj+wj88wls+FWWaJr0lSTLgiRY1mpHTu0FO+V9R4xSquRpYJFHGkfIiDDT4MJiBwcA+Jq/2MvhkMft5hDfsITL6RzycYPhR5Yyh/VBF/btpDKLNVxLD2pT9P1U9pNuG1TkNof1NKAqJ1Av7DGzWEM6WRFnN+pRhbM4wdHrejNh+kiY90quypkOLqQAO5c4DywWvilNp/Ly18z46maoXA+OPyv081dNkaACgmdWjA+yDsEH58KQDVKL44Nz4fCuQHLpn69DpX/BVd9JqelopDSE5ufC6u9Dl6e23FCrLdTrEt15lVIqWroUkkecw4/Eg4t9HGaVzfKAwbCc7aSRHvLxv9jMnKPLBbkv7AaZ9fiAuTHZjZJOFrNZx0fM5yPmMYs1QTsxKpNgM/8QzAJmsy7s4wbDIjZFDCqaUYPr6EGCg9jW54WPLobfn8lTjtthaobTrqIAc18E2w/DwPtnyy1UafA//hu+1LjxwZFUmPMSvHc6pB/NbfVlB4KQQ7vg3dPkz2idN16Kc+V9fZcHEirLdtPymryqlCo9NLDIoxKJ1CXF9triw9CKOmxhn6NzbmF/vvsMhj9YG/Y5BjhABssp3ML8BvbwAr/wI0tZyQ5WspNfWM4LTGUNcvVqT33H6ZMGeT/hZjiy8JKJfUlMC0giHo/DigHLPoPV34XvHhpJs9OcHWeMFJdy8mGs/h7+11CaofnHZYwsa0SqCLpkouxuCXWcPzfkzwK06U5uALcukFodCVXkvrgK0OkWuG0h1HI2OaSUUoWigUUIJ3N82GuLhUVjqlGPFNs8g7zPyesI2ew6WjgqHBcW69nj6DVCOcARPmBeUKIpyHUzCy+TmM8+DtOS2jSgSlSzFuGOjcMdsWW7hUWlKPIqFvxf9A3H/KoeJ83AnHJH0Zg2Iw2+uBY+vVJmVcBZ8JO2OXLjq2WfOh9HbpVqQ/9n4aG90up76AE4dxxUaVKw8ymlVLQ0sAihJXU4mxOwjoYEFuS0R69PCpfTOSfAiHQxdmHRiGohHilI6cjoSE0Kb9hX8mKYzwZcuBhEN1pTN+I5LaS7a7igysKiAw1yPq9QfBg60MDBOxB7Vxe8L8jZLzk/1rKgcd/oX2PppzD/VXl+g16RgyAnvUoy7WPOiCxLZiu0z4VSqrjpf3bC6EoThnAqfWlJO+rTiUZcQ3duoFdOsahKJNKO+mEvoRbQitpsYT+b2Re0fJBIHNWw76Xtw4QJSpyRqpfh+XNAABKI41I6cSen2M44GKAnzcI+voeDVKciHpt/Wu2oTx2SMQZSN8Lu5ZAVOv8VgArVbd6EjW73hE+yDKdq+Ldma87zshTS836bIOjoxb5+d/vgwuUJbr+ulFJlie4KsVGZRPpwvO0x59CWfRxmE/tyNilYWBgM8XhYynaWHr14J5NIP1rSgQZYWPSkGd+yJOR5LaAC8bSmToHHn+0g8TNvcmgNKnEtPZjIHDLJzglM/LtW+tEyZHGwNNL5kr9YZ7N048ZFN5pwGi355xP4dZS0MAe54Ha8CfqNyr900f4a2LaQqCZ5etwH/Z+LPlkxqWqe9tlOGJlVyTwALc4PbIfNvd3Ucssyy5VfyLLJmh/Cn86XDV3uiG7cSilVWmhgUUjxeLiOHqxgB4vYzAGOkEAcW9iXr0BWGkf4kr/IJJuuNKETDdnGfv5kU04wAhJUxONhIF0dJziG0oAq7ONw2ERLFxYNqJrv/vpU4W76spBNrGAHWXipRwpdaEI9UvIdf5hM3mRWyN4iFlCLyvTheJpRk0TimP3C0b4VuS76WYdh3jhY9wvcOAsSc73MiTfA7OchbUvorZShXrTHkILtgKjZpuDLLtNHwsK3IGO/LEFUqClBQkJlaHkRdLtLZkSMkcBh/niCt8y6AJ8ERU1OKdgYlFKqpFnGmKJf7M8lLS2NlJQUUlNTSU4u+hoNJeFD5rKa3WG3XHpw8S9OJ4E4DIbV7MpVIMtNG+rRmUZUJrFQ49jKft7gd9tjrqMHjSngWsNR01nJb6yynVC4mu40owYHtsL/GoW/eFtu6P0QnPZk8P37N8Anl8LW+fZjcXlk+WPg15HHbQxkp8t2VH8QkpUOY+vJtlDHMySWFLXyZgW/L5dHHrvkfSmQ9dc7kL5Hdm90uhXiK0pdjl1L5fha7aDXAzJDU9q3hW74TQLB7X/KbFPrAdD5Vu1DolR55vT6rYFFjB0kg7H8HPG482lHRxoV+Xh+Zw2/sDzfjIgBTqY5fWnh6DyHjvZ4rURCvlmU//ELBwhfK9qFRVvqcREn8uuTMP0x+1mBpGrw7135Ew+NgS1zYflnMPcVCQJyr+RYbkiuDzf9IUWswkndJDUxFr0tRaviK8syTO8HoXJdWPE1TLr46Gs6nL2wXGF2hFi5HvcGH1+zDVw3Q/qQWJb0NintjIGfH4JZz+ZZ6nHJ+K/5GeqFrgenlCrjnF6/dSkkxuwusH4uLFIdHBcLvTmO2iQzm7U5W1cbUY0eNHXUSG01u/iVVWw+WrMjHjcdacTJNCcJ2Zt5OEJ7dR+GtKPvd+/KyGNO3ytbOfPmWlgWNOgut+73wh9jpVLmkX3yTbnTLbIE4oqTJYmD2yXAaH2JLEcA7FkJE3pJrQj/RTHzAMx7Gf7+UIKSlufDDb/CjNFHcyFMoMhWdjo5kZn/wpr7ApvP0bA9b4BifLBrGfx4H1z0TuTPpLT4+yMJKiB/ZdGMA1I47L6N4CncZJtSqgzTwCLGnPT3MJhi6wMCcDw1OZ6aUT9vMZv5gr+Cdr1k4mUu61nDTi6lM5vYhwc3Xpsy6C4sko8u6ySkSIBgN01muSJXy6xcD/r/V27Gd3RGwEiwMe1RyM6QmQBfNnx7B5z+DHS/Bz6/Do7sz3+h92XLMsXXt8C1P0s/j6unSICTeRAq1JCljr8/hOWfS4Gr2h2gST/4+GL7sYZjvLDkA0kyrVCjYOcobrOeDT87Y7xSovyfj6HDtcU/NqVU6aCBRYylkERDqrKZfWEvngZYz26qU5Fm1HBcaMuJLLxk4yWRuEKdN50svjm6YyXv+zAYdnOIV/nV0bly161ocxnMjVBbosmp0TXi8i+ZzHsFfnog1+sejXWy0+H7wRI4bJltM85sSR7duxpqtHBhWRZerzdnicIdD51uhq63uTHG4JvuY+9q5+MM95o7FkPTUwt3nuKQdRi2L7Q/xvJIF1gNLJQ6dmlgUQROoxXvMtu2X8YKdrKcHRxPTS6nc4F2f4wcORK3283w4cNZy25msjpnuWPG6I+I97oYMfIxOtKQRKIoKQksYYuj7aqRWEBzatPkaIJoo5Oki+f6XyHc6Tf8Cht/h0a97c+9eY4EE1vny0V/zwr742c+Hfj7NEbiws0pDM93356jd/l8PtxuN16vl9GjR+f86fP5cLkkmql6HFRvKUssBa159vckKbJVoQa0uwpqtCrYeYqak2wsC4qj9ptSqhSLqkDWyJEjsSwr6FanTsHrLJRXjajGQLrmTP+H4g861rCLH1laoNdxu92MGDGCO0c/wETm5AQV00d/yNQRE8lwe/mJZbzMdHYQomOWjZ1RHh9yfLjoShMupWPO7IllwRVfSJJlOL5M+OgCm7wFYMYomNBDliZ2L4Mdf0kbcjveXKkgLtxMYwQzGJ3vvpc+GsHjjz+Oy+XC5/NhWRYjRoxg1KhROUGF1+vNeT+nPEahLqYLJ0hvkN+egldaw5c3yrJLaRNfEWq3x/a/Gr5saHSy1Cf55g54pQ2Maws//Av2rim2oSqlSlDUMxYnnHACP/8c2PXgdhe8zkJ5dhw1GcypLGMbn7HQdllkIZvoR8ucip5ODR8+nEyyeWLEKPqxnWmPvZ9z0n6jBtF3+EBA6kzUdVfBGIPxRb4CZuNlFTujGktuFjCATjSlRk6CZ9DjLjgU4fTpe2XnR4978z+24ivZWQL2wYcd/0zFNEYE/ex36NAhLrvsMiZNmpRznzEmKKjwazcQDmyFnx8kp5GKdXRsFWvD4d0ReoN4gx9f9LZcxKMpR15cev4Lvrgu9GOWWxJusw7D+PaBHBeQ6qpzX4LLPoFWFxbbcJVSJSDqwMLj8egshUMuLFxYEb/MejFsYC+tClBl88zh1zCLNUwd8X7gToucoAJgpPt8jM9guZzlXCxmCwci7PSwY4AmVA8ZVADsWxM8exDOwgmhA4s/nitAdcwQcgcX0xmJwUc/RtF6ADzzzIiQz8kbVPj1+he0vVJqVexdLUmqba+UZY33z4HNswJjjjh2I0HVym+hSmM48UZoe4Us95S09tfA1nkw9+Xg92G5pZ7FGf+Fr24ETJ5dI15J+PzkMrhnlbwvpVT5FHWvkFWrVlGvXj2aNm3KlVdeydq14Vt/K8JWvSzocXntMGlkpWcG32ngMes81k1bHBRUTPb+GfIcBkM6WTmVQv9kY4HG4heHm0SbmNXtMDFz19L86/rGBxtnFj6o8DuF4Vi4MPgAi1MYzk1nDyc+PvRV3G6GLrk+9HkELnwTzvqfbItNTJGtq1d+JUWkGp8Mx5/pYGAG9q+TfJMvroUJvWW5ZNoI+P0/FDpptKAsC856Ea7+EVqcBymNJHg6aSjctQzWT5WZipCM/P7mv1qsQ1ZKFbOoZiy6d+/Ou+++S4sWLdixYwdPPPEEvXr14p9//qF69dDVGzMyMsjICHw9TUsr/Np9WVI3RAnswhyX1/ZlG5j5n8kAWC4raKnj7VMfybn/ce/X+YIXLz5ms465rMuZoWhENfZwqEBjAZml6UhDXDYxa42W8u3WrvEYBJYIrDz/SmNZ0m0ajx0NKgAMMxjNoQWQmZk7WLP4+FIfV3zqDkrodMrlltoYLc+Xn9f+Aqu+c/Zc/7bObfPh6/lSo8P4pEhV24FwwQSIi7A1N9YsC447Q255rf3ZfnnKeOUYxhTZ8JRSJSyqGYuzzz6bAQMG0K5dO04//XS+/fZbAN55J3yFnzFjxpCSkpJza9iwYeFGXMZUpYJt0GBhcTw1qUqFAp1/5eTZGK+PFud3Y6T3a/o9PijfMSO9X2OQ3iF+Xnx8wFymsjxo2WMTe8mwqUlhx8KiEgmcFKFxm+WS+g+RVG2Wvwuo5ZKZgFi0A5/BaGYwCoBK1KWv9TjTGMGz40dg5dTUlmpY4z8dzeMeLxaunOCioGq0hILuBPblKhv+zyT44voCD6NoOAn6dNeIUuVaof7zXLFiRdq1a8eqVavCHjN06FBSU1Nzbps2bSrMS5YJXnwcJIMjZPExC9hGasjjLCCFRM6nfdhzjRw5ktGjRwfdl5GRwYYNGzjttNN4ccR/OH/UjVz9leQE9B0xMN9Fa6T7fOJw59SSAJjPBtaxJ0SNCmfaU59KBNY0/C3ib6R30P3hnP0S9hdXS/pphNLj/vwFmqYxMmiHR24zGM00Roa4bwR1kP7kbaxLiE8KDMgYg4WLkUfzLqYxgmnZo3kMf3BR8KtjcgNofo7kJRSG8cHSjwO9RkqDpqfat4S33GWjZodSquAKFVhkZGSwbNky6tatG/aYhIQEkpOTg27lVRrpfMsSnuEHxvIz/+FHVrAj7PG1SeYW+lCJBDayl/lsYBGbgrqE+reU+oOLw4cPc+GFF9K+fXumTp3KqaeeyvvDX6EmlQAJIo72bqfvYwNzlkeGuc8JqmUxl/UFeo8uLGpRmbNoQz9aUJvKVCSeOiRzHDXDJmzmVbWpVJwEQgcYRrZfrvgq/0NtLoVe/z76VLd/XPm3j0IggHDlqRPiw0tf6zFS2QDAgEsvpdNtXkaNGsVjj47i1LjHeAyZGjiF4fRjFL6jPz+Gl1FxPg7vdvRWQzrnZahQ3f4i7ITlkToYpUW3wfZLIZYFXW4vvvEopYpfVE3IHnjgAc4//3waNWrEzp07eeKJJ5gxYwZLliyhcWNnad7ltQnZPg5zxcjb8LrhlOFX5nt8+ugPMV4f/UYGlipcWAykKz+wlN0cDLq/Iw05ixNw42L06NGMGDGCYcOGMWPGDGbOnAnAjTfeyIQJEwBJwHS73TmJmk94vyUeN62py/nuDhhfYKukDx9PMCXie0rEwxGygzp7N6U659GOz1jEFvYHPQbSIv1aejguWf7Dv2D2/wg9VWLJkscNv0qJ7bzWTYU5L8KKL+VnfxDRj1GcwvB8P+dV+8GfuOM//alZsybbtm3LWd5Y/QO8f1bksQ/4UHZ+FFTqJvh1NCx+L3INjnBccdD1Tjjr+YKPI9bmvgJT7s7TpOxoo7VLPoATLivZ8SmlCqZImpBt3ryZgQMHsnv3bmrWrEmPHj2YPXu246CiPPuOJXjdMHXERAwmaLvn9NEfMm3E+/QbFZz/4MPwEfPyJVX6MPzJRtLJ4lI6MXy4XBRHjAhsgbz55pt5/fXXc362sGT63mXxkXcuqRyhMokcR02yvdnEuePwx5DW0W2wdjtRLCxaUJtuNGET+7CAptSgJpX5gkVsZT+QPx7YxUG+4i+upGvEz2zhmzB7rM0BR0/+6xMwKESyY9NToW5n+E91yTvIvX10BqPxkRUyqLBcUv3z5Nta8UTyE7jd7qCcCSdbYaHgwcDB7dLM69BOqHMi9B0pyxpTBssMTTQ7XnzZUM0+paXYdbsLGvSQLakbpktQcdyZ0O1uqNm6pEenlCpq2jY9BvZzmBeZBgQHEX2HD8z3c155v/HndQsn5SR/ulwujDF4PB6ysoJLM2bh5SPms47dOS3S/eduRFWuohvxueLIT1jACnbYBheX0zlfbY1DZPA/fom4PbYqFehFMzrSCFeItY7MQ/BcHWnwFZEFD+8P3Vb8k8ukHHZuj+PG4MPCzWN5ElFdcdIZ9dTR4Ttw7l8PLzQjYsLJbQslMHDK+GDqo7JdFCMXXF82uOPg1Keg443wzqmwY5Hzc7rj4V/bIamq8+copVRBOL1+xyC3XuVexug7fCD9Rg1i2oj3Gek+3zaoAPtrlwuLxWwBJInTHwNmZ2fnS+j8kaWsZ/fRc5qgc29iH9/yd9DxvTku7OtaWNSgIi2ole+xzex3VHNjH4f5lr+ZzJ8hj1/+hcOgAsCEPjZ1IyydHHzfDEbnbB81ePPlXNz0B/R/Nn9QcXiPjGnpZEjbDFWahh+O5YZ6XaMLKgB+fRJmjgkUi/JlyXvzZkrztKWfwvUzopuBOPslDSqOOYcOwe7d4Ct8Lx+lioIGFjEQl2dFqecQqVnsz3c45dH8C/FOOo8aDIfJZPTo0Tz++OMAVKtWjccffzwooTOdTBaxybZs+N9s4QCBuft6VOFSOuE5+k/AXyUUoAYVuZrutrUonFrGdhaRfydQ6kbniYvxlUO3FV8/naDIzJ9T0ZuHsI6OPXdCZ7/RUK+zHPvmm28yadIk9u06yDe3wXN1YdLF8Mml8FYf2B+m7pvlkaJXF7/nbOx+GQckGdXOtOHSkj2a4lcdwpTXVuXQtGlwxhlQqRLUrAl16sDIkXA4QkEYpYqZdjeNgQZUoQLxHEaKKv3x/Jc5jxmf4b2zRnDtD4FvzhZQmQTSySTLtoOoxVej3+TtES8xcOBApkyZQrdu3RgxYkROYyyAy4ffijfCLIIBNrCXttTLua8Vdbif01nCFraRigc3LajFcdQMG/g0oErE/Iy85rCOTjQKuq9iTfA5ySVwSatyV5wUlpr3CmxbKAW2quWadMmbqLmVeaxjKsfRn2mMoM1lcPKjkmvh8/l49NFH2bZtG//q+C3Jf52Tb/tqOB1vgpOHQUqU5VhWTwFvhJyMQztg9vOSA+J0PN7M6FrMqzJq4kS49lpw5Qr2d+2C0aPh++9h6lSoULBaOErFmgYWMeDGxUkcz48sDcqpSEiuwPdDXmfNjwv59Ir/cOWkh6lIPCfSiK405jdWMZcNYdurGww1vZUYNWoUw4cPx+fzkZoqNTH8CZ1er9e2PXve8+WVSBxdaeL4vVYkgbbUy1micWIXB4/mfASCldYD4Lu7IydKVmsGfYbBD0NkB0junQZ7lgeO8+ENStRsw6WsYyrp7OPRB0fhTpIoxhj4448/2LZtG5UrppC08DTnIZIFtdtGH1SAdPt04uBW50FFckOIrxT9WFQZs2cP3Hyz/OPNW/HV54N58+DZZ+Gxx0pmfErloYFFjHSlMeNGj2XaiPc5ddTV9DuaU7Fv7XbmvPg1Sz7+le7JLYJ2cvTmOJayjYNkhrzo96QZZ4w8N+dnl8tF1aqBBXV/cJHGkYhJoAD1c1XeLCiD4SDRbYcIlbyZVFUChumhe30B0Pw8uOgt+bY/50W5L6ixVa4LcL88BbBacwnfcTdbmceAsz9m86QmPJ0iSxLTKku254lVLyDuSEJUuzBWT5HdDdHa57BleIWacGgXEX+Zlgu6D5YtnMUh8yDsWwueJMkBKa7XVcC770KeZO0gPh+MGwfDhwfPaChVQvRfYS5b2c+X/MV4ZvA6M/mVVUHFqkJJJ5OfWcZ/+YlN3j2cOmoQlw6/mebUohfN+GLsu1x4oeRcTJw4kTVrAleYSiRyI705nppB50wijtNpxem0AiDSxp1kEmlFnbDLFxYWx1GTalSM+BlEspKdrGWP4+NdWLSgVsixnfwonPqkXKyODhSQi+uln8BVX0tuxaz/EvlfqhX890pWbZpXPBmAx876joVvQEYa+IyPhWkSWDTaOSC6ZmZHEy0LIr6ys+Pa56/Inp8lJdG7Dy7YWKKRvhe+uQOerQmvdoCXW8DLLeGvKHNMVCH8/XfkgGHnTti/v1iGo1QkOmNx1G+sYhorg/IHtpPKH6xlEN1oQP7U+8Nk8ia/s490DCan+NVuDrGXw3SjCXXcVfjggw/o27cvjRo1ol69ekHnSCGJgXQljXR2cRAPbhpQBXeuK+n333/PnXfeyYABA/jvf/8bcvzn0o5dHAzaoQJyva1CEhfalA2PxkI25WxndcJg6BlmB4plSTfQbvfAym/kIla1mTS38id2Zh6CHX/Zv4blhrodIfMwHNoOyY2g863Qt/lTfDkonpTdnXIS6LcyjzQ2E08lmmT2j7zfN8/rNOjp7Ni8qh0fOXfCkwSdb4e/3pUEzlAVLF1x0G8U9Ly/6NuoH0mFN0+CPSuDa2vsXS0dVw9sgZMeLtoxKJznTiSG2T+tVDHTwAJYyQ6msRIIbl9ugEyy+YB53MupJOT5uH5mWU5QkZvB4MPwGQsZwmlUqFCBH3/8keTkZFxhvnkkk0QyodtUzp49m/Xr17Nz586w76EC8dxMbxayiT/ZyAGOUIlEOtKQjjQMKuddGPs57CiosJCZkovoQMMQQVluCZWhXejduI6m3C0LarWTduW5rfymJyl5PrKlyP7UFpxHHElRNcSyLOh0i/Pjc2t/DfwyNHxgYbklMTSpqmw5/fwaWPNj8DHNzoCLJ0Kl/LuAi8SsZ/MHFUDOZ/bLMGh3lbROV0Xo4ovh5ZfDP+52w6mnavKmKjU0sAD+YG3YL64GOEIWS9hCFwIVRv33hU+8hENksoqdtKIOVapUCTxmDB9++CFXXnll2EAjtzlz5gDStt5OPB6605TuhC7CsJl9TGUF20nDQrac9qc1NXE4Tw9UIoFdHLC9Hsfj5iSO50QaOmpIZieuAtTpKLMW4S7KvmxofEr++7cuCE72BNh/tEdKawYE7owwa+HyyGtf9G7BEjcBKtWGM56FH+4L/XhCMvQ8+ljFWnD1D7B7BWyU6u007gPVWxTstQvCGJj/qn0VUMuS6ql9RxbbsI5N/fpBt27w55+QHWIay+eDYcOKf1xKhXHM51gYDBvZa3uhtID1efIK9nE44hZPFxY7OZDv/ptuuolBgwbx4IMPRhyfz+dj7ty5QOTAws73/MObzGI9ezhCFulksYZdjOdXfiV8d9q8OtAg4md1Ci04ieMLHVT49fxX5J0SoWY23PGw17eOz7me95Ek2Mv5mCGspwWBpNhWF+WvqZFUXYKaxCpwwhVw89zwsypO9RgiMw4JKfkfO7If3j4F9uZK8qzREjrdJLfiDCpAkjXTHaTSRFNzQxWQZcE330CnTvKzxyM3y4KEBNmKekqIyFqpEqIzFg7lnZmIy9MtM9xzPCFit9NPP5233nqL5557jqZNm3LXXXeFPceqVavYt28fiYmJtG9fsDyJf9hq2810OitpSFWaEqIKVR6tqcMfJLODA/k+Ewv5XFaxky3spzV1aEWdoHyRgmh3lUzL2+VafHsHtL4kePvllxtGMtd3mL94FzCksokUGlKFxkd7iXi5qPFILv9UdmJs+FVmN+p3C66REUtZhyAjNcQDBg5shw/OhbuWSj5GSYpLknwOn81mBMsKHSSpIlCzJsyeDdOnwxdfSFGsE06Q2hbVqpX06JQKcszPWFhY1KeKbR1M6bcR/H/e6lSkKvZrmgZomafXBsBVV13Fk08+CcDgwYP5+uuvw57DvwzSqVMn4uPts/UMhlXs5CPm8RLTeI3fmMUafmG57fMAfmJZxGMAPLi5hu40z7OTRV4fsvCxnj0sYxuTWchr/BZU8bMgstNhzwr7Y7LSpbFXbin13cziWVKOFudayFtAcCv1kx6Wi3il2tJ1s93AogsqjDnaJyTMPzaTLe8zb25FSXB5pNaIZfPVw5dduO6uKkqWJcsiL7wAr78OQ4ZoUKFKJZ2xAHrQjE/5M+Rj/m/hHWiQ536Lk2nOl4T+Gm0hlS2rh9niOXToUNatW8cbb7zBlVdeyYwZM+jSpUu+45zmV/gwfMlfLGFL0K6N7aTZPs9vO2n5iliFk0Q8V9KVvRxiPXvYxF7+OlowK2+fkt0c4iPmczO9Q577SKr0yEjbLBf3NpdBherBxxzYGrmTqMsDu3PFT+tnQMNfhtMPKesNMJ3H+JuP2M0y+jGKoQ8Op/NtEd9uoWSkyS6PZZ/Dkb2R61n4K4we76Bte1HrM1RKjPt8+ZeiLDc0OQUanVQyY1NKlV4aWCDT+z1pxh+sDdpuamHhxuIKuoTcVdGBBhwkg6lHZwT8F04fhuOoyYV0CPualmUxbtw4Nm3axA8//MB5553H7NmzadKkSdBxTZo0oVOnTvTu3dv2PcxhHUvyXNyj5cPgdhBY+FU7OmszizCNNY6OZRupvMg0mlCNLjTJKdT147+lbXrui9Z398Apw+Hk4YG8CSc1IIwv0P102WfS9RRLWqlnkMYsZJvubpZxVedR/O+d4dQ6wfFbLZBdS6Vb6SH/zhSHvxanlTeLWu32MGgKTL5S3oMrTsZmvND8bLjkfS2UpZTKT9um57KW3cxjPVvZjxs3rahNV5pEXPJII51FbGYfh0kkjhOoe3R5JfJ/ddPS0ujTpw/Lli3jk08+ySmmFQ0fhhf4hQMRinnZSSKOf9M/3/0Gw2b2sYqdeDHUIyUobyKVdF5gqqPX8Adt/WjJ9suPZ+kn4Y89/RnonSu3dUIv2DLH/qJ75z/SlfS5OlJhM/eFfCQuwODCw2c3ZOXbmhpr3kx48XiZbYmqCBdw2afQZkDk44qLNwtWfAU7FkvuRcsLoGabkh6VUqq4Ob1+64xFLs2oQTMHCYx5JZPEyTQv0GsmJyfz3XffsWbNGk4++eQCnSOV9EIFFQDpZPETyzidVjkB0UEymMR8trA/pyy3D0MF4rmMTjSmOl7bJmrB/DNBU3/ZDZ/Y9wafMQq63gXxR1eS+o6EiWGWByw3tLxQLnZ/vSfLD0HnYjT+oMJHNi++O5qzXhhOgvNdtlFb/gWk5W/qastyy3JQq+hjyyLljpNApzQFO0qp0uuYT94sDerXrx8UVOzduxdjDNu3b+fIkcIlPkbjD9byJxsB8OFjInPYSurRn01OYJBOJu8zl90cJIUkkqItvjW2KbjsJ8qyDsGaHwI/H9cfLn73aPlvS6bl/VtEW14AlxwtMb17uTzml7vr6Qiy6McopnpH8NgjgW6zRWHNj87bwoMEFfGVYeDX0T1PKaVKGw0sSpk777yTZs2a8dhjjzF48GCSk5N5802Ztx89ejQjR47M95wUkhzVjMjbkySUmazBYFjJTnaG2FIKssLgw/AHa3HjoguNo8jMAKZXB1/kZxzZH/xz+6vhge1w7nhpBNZnGNyxBK74TGpOgFTx9C+X5G2lDpJz0Y9RPPPyCEaPLrrgwunyR1J1KWN+0sNw599Qt1ORDUkppYqFfjcqZbZt20ZqaiqjR48mMTGRrKwsmjZtyujRoxkxYgSjRo3K9xwXFj1oys9htpVaWFQliXqksJbdQWXL80olnX0cZinbbAtS+jD8w1bOpz19OJ6N7GUDe529SeMsDKkaYttnQjJ0sdnJ0foSKZ0tYwxupQ6ytfSKDsPpd7G0nC8qDXrCondsDrCk6NVdyzQBUilVvuiMRSnz+eef5yyLHDlyBMuy+OWXX3KCCn+r9Lx60IwTqAsQlDRqARWI40q6Os6G8OIjg+yImxiy8B4tAuZmEN04mxOoQaXIsxcn7wG3/dkTq0oZ62hVbwEnXCkBRD9GBgUVILMZfR+XlvOhZn9ipd1VEgSFLXRloMd9GlQopcofDSxKoenTp9OuXbucn5988knboAJk1uISOnIFXTiOGqSQRG0qcyqtuINTqEEl6pNiO1sBkICHqlSgOhUj7mqpSoWcYzy46UoT7uQUHqA/cXYbV+9bB177c5//esGrT174phR3AslXcMUBFngS4YIJ0PL8gp03GvGV4IrPwZ0QXGTKOlqwtf010LmADc2UUqo00+2mpVRGRgYVK1bE6/USHx9PRkbhdn2AJGS+wDQOciRkeGEBPTmO02nFbg4yjhm25zuTNmEbnq1lNx8x7+icRqAuiMHQm+OIe7IV0x4lfwMwC/r/V9qCF9aupfDPx1KEq3pzmUVIrFL480Zj72qY8xIs/USKfNVuL7td2gwo+bLdSikVDafXbw0sSil/TkV8fDyZmZkRZyyc2sJ+3mM2WfjyJWY2pCpX0z2nD8oMVjHjaDv53CygAVW5hu54bHqm7OMw89nAcrbjxUd9qtCVJjRBSmtu/B3mvQIbf5OTHn8W9H4ouKS2LxsO75Ftp7n7gCillCpeWseiDMudqDl8+PCcn4FCBxf1qcJtnJxTqTMTL1WpQFca05GGQYHCKTSnKknMZA27OQhAInF0oRF9aG4bVIAslZxBa86gdcjHG/WWWyjp++C3p+DP14827bLguDOlKmfDXgV660oppYqBBhalTN6gAgLBRKyCi6pU4CxO4Cwi17RuTwPaUZ80juDFRwpJhe5WGkn6PnizF+xZlWvbpoE138ut1SXQ/1nZpqmUUqp00cCilPF6vSGXPfw/F+UWyXAsLFJIKrbXmzYiT1CRx/LPYMWXcMEbcOL1xTYspZRSDmiOhSpVstLh2RqQddjBwRbc9Ac0sG/8qpRSKgacXr81L12VKmmbHQYVgMsNs58v0uEopZSKkgYWqlTxNx1zwpcNq78rurEopZSKngYWqlSpXE/6ZTit8eDLLtrxKKWUio4GFqrUOeWxQCMxO5YbGvQo+vEopZRyTgMLVeq0vADO+7/gUtihGC90v7d4xqSUUsoZDSxUqdT5VvjXVmh7FVLqM1drEX+/jR73Q4ti6PuhlFLKOQ0sVKlVsSYMeB9unQ/tr4akahBfGZr2g4FfS08R7Q6qlFKlixbIUqVe3U5w8bslPQqllFJO6IyFUkoppWJGAwullFJKxYwGFkoppZSKGQ0slFJKKRUzGlgopZRSKmY0sFBKKaVUzGhgoZRSBTV9Olx2GTRuDC1bwkMPwYYNJT0qpUqUBhZKKVUQQ4dCv37wxRewcSOsXAnPPQetW8O0aSU9OqVKjAYWSikVrc8+g6eflr9n52qx6/VCRgZccAGkppbM2JQqYRpYKKVUtMaOBVeY/3z6fHDoELzzTvGOSalSQgMLpZSKhs8Hf/whf4ZjWfDrr8U3JqVKEe0VoorcYTJZwXaOkE01KnA8tXBrTKvKKqed77RDnjpGaWChiowPw1RWMJu1+DBYgAEqEs/5tKcFtUt6iEpFz7KgTx+YOVNyKkIxBvr2LdZhKVVa6NdGVWR+ZhmzWIMPA3D0f+EQmUxiPuvYXXKDU6ow/vWv8EGFywXJyXDNNcU7JqVKiUIFFmPGjMGyLIYMGRKj4ajy4gBHmMM622OmsaKYRqNUjJ1/PowaJX/35Jr4dbmgQgX49lsJLpQ6BhU4sJg3bx6vvfYa7du3j+V4VDmxlG22jxtgM/tJJb14BqRUrA0fDrNnw1VXSXGsDh1gxAipZ9G7d0mPTqkSU6Aci4MHDzJo0CBef/11nnjiiViPSZUD6WRhYWFyFkDCHZdJCknFNCqlYqx7d7kppXIUaMbirrvu4txzz+X000+P9XhUOVGFpJzcinAsoDKJxTMgpZRSxSLqGYuPPvqIP//8k3nz5jk6PiMjg4yMjJyf09LSon1JVQa1pi5T+IcsQie4WVi0oBYVSSjmkSmllCpKUc1YbNq0iXvvvZeJEyeSmOjsm+aYMWNISUnJuTVs2LBAA1VlSwIezqRNyMcsLOJxczqtinlUSimlippljLGfr87liy++4OKLL8btdufc5/V6sSwLl8tFRkZG0GMQesaiYcOGpKamkqxZ0+XeUrbxC8vZx+Gc+46jBmdyAjWoVIIjU0opFY20tDRSUlIiXr+jWgo57bTTWLJkSdB9N9xwA61ateKhhx7KF1QAJCQkkJCg093HqjbUpTV12MkBjpBFFSposqZSSpVjUQUWlStXpm3btkH3VaxYkerVq+e7Xyk/C4va6OyUUkodC7TyplJKKaViptC9QqZPnx6DYSillFKqPNAZC6WUUkrFjAYWSimllIoZDSyUUkopFTMaWCillFIqZjSwUEoppVTMaGChlFJKqZjRwEIppZRSMaOBhVJKKaViRgMLpZRSSsWMBhZKKaWUihkNLJRSSikVMxpYKKWUUipmNLBQSimlVMxoYKGUUkqpmNHAQimllFIxo4GFUkoppWJGAwullFJKxYwGFkoppZSKGQ0slFJKKRUzGlgopZRSKmY0sFBKKaVCWbYM7roLmjWDRo3g6qthzpySHlWpp4GFUkopldfkydC+Pbz2GqxbB5s2wfvvQ48ecNllcPBgSY+w1NLAQimllMpt/XoYOBC8XsjOzv/4p5/CccfB2rXFPrSyQAMLpZRSKrf/+z/w+cCY8Mfs2gXnnivHqSCekh6AUkopVSyMgRkzYOZMsCzo1w969pS/5zZ9usxWRDrX8uXw88/Qv3+RDbks0sBCKaVU+bdqFVx8MfzzD7jdct+jj0LnzvDZZ5Kc6edyOJkfF6eBRQgaWCillCpe27fLjoukJOjSBTxFfCnaswdOPhl275afc89G/PUX9O0Lf/4psxm//irLG5ZlvxTiFyoH4xingYVSSqnisWULDB4MX3wRyE2oXRseeQTuuSf/kkSsvPYa7NwZOh8iO1t2fRx3HOzdK7MQxjgLKrKyoHfv2I+3jNPAQimlyqvt22HSJEk0bNgQLr8cqlYt2tfcsQNeeQXeeQf27YOmTeH22yXR8aSTYNu24Av8jh1w770y1qeeKpoxTZwYOcly7175MyvL2TndbqhVCy64oHBjK4csY5yEZbGTlpZGSkoKqampJCcnF+dLK6XKM2Ng9mxZ8/Z6JSnvjDOcr5eXBuvXwwsvwAcfQGoqVK4sF7CkJPlmfPfdUkchEp8Phg2DZ5+Vz8Xtlm/m8fHwzDNyIS8KK1dK8LB3b2C5wT8LUbu2BDjhkiItS/Igjjsu9uOqV08Cmlhxu6FSJfjlF8nROEY4vX7rjIVSquzbuhUuugjmzQus12dny0Xqiy+gbduSHJ0z8+fDqadCenpg3T4jI/C4v0DTU0/B0KH25xo1Cp5+OvCz/9t6RgYMGSIBy403Fn7MxsCiRTIz0aQJDBgQHFT4jwGZkbDjcsHbb8Po0YUfV14tWshSSKSdHuE0aybBydKl8tkNHCgVORs0iO04ywmdsVBKlW3p6XDiiVKsKG8indsNKSnw999Qt26JDM+R7Gy5MG/f7uzi98MP+XciHDok5ab37YNBg4KDkrzq1YONGwO7I8JJT5eApmJFqF8/+LFPPpEAZ82ayON1wu2Wcb/zTmzOl9tHH0kwUFAtWsCKFbEbTxnl9PpdhuYIlVIqhEmTZAo+VHa+1ytLCuPGFf+4ovHdd5LY6CSocLth7NjAz9nZsm2yTh047TS49FL7oAJkhseu58W+fZJkWbMmtGwp38w7dZLZH5CZhcsvj11QAbIUUr167M6X26WXwjnnhF8Ws0sa9XjghBOKZlzllAYWSqmy7cMP7fMovF54773iG09BzJ0ruxGc8HplWyTIMsN118nySLS9K1JTQ9+/f7/kc4wbJ7Mgfn/9JXUgXnhBdnDEWna2NPkqCh4PfP657D6pUiVwf40a8pp2E/fZ2XDHHUUzrnJKcyyUUmXb3r2RM/7T0opnLAXl8Tjb3pjXrFmS6FkQxx8f+v4xY2QGKO/sif8z/te/Cp6rADLjkvf5LpcELZ06Ffy8kcTHS/7Go4/KsoZlQatWgZyc998P/h3461jcdBOcfnrRjasc0hkLpVTZ1rKlfYEllyv8RbS0OPNM54WWXC4p6ATw5pvRF5dyuWTnRvPm+R/LzpaaD3aBg794VLQsC267Tbaf+scBEmjccINsCS0OCQnStbRdO5klsizJ6xg7Vrbk+jVuDC+/LJ9HUdXXKKd0xkIpVbbdeqt82wzH5yv9U9k9ekD37rBgQeQAw+eTuhAAGzZEX/nRGLlghrJvnyyF2LGs6BpveTyBZY5XXpGAYvp0WLJEttGee64kk+a1fbv8XjdtklyPq64KBCWx5nLJbpnBgyXXxbJkTGVpq3IpooGFUqps69MHbr4Z3ngj/2Mul2zhLKq1+2h5vTB1qtRrSEmRi2qVKnIh++ILSb5cujTyebZulT9r1w69tGDHGKknEUqFCpFLWVuW83LXXbrIjNLNN8MppwS++ffrJ7dw43vySRg5MlCDw+eD4cPhzjslx8PtljLdb70ly0FutyxXDBok9SUKyuUKnrVQBWOKWWpqqgFMampqcb+0Uqq88nqNGTvWmLp1/cWYjUlJMeaRR4w5cqSkRyd+/tmYhg1lbJYlfyYmGvPoozJ+Y4zJyDCmevXAewh1syxj+vaV46dMsT823O2pp8KP85xzjHG77Z9/7rn2j7tcxpx5ZsE+p5dftj/3ww8b8913xiQlyetYVuDP6tWNmTu3YK+rInJ6/dY6Fkqp8sPrDSQeNm8u6+mlwR9/SBMsny/0MsK//w3/+Y/8vXr1QHnpcDp3loJaPp98U//11+hmLa66Kvzy0ezZMgvk9eaflXC5pB7I7t32W1rdbrjwQkhMlN/DDTdIzkIkWVmytXXnzvDHWFZgeSXv+NxuKWC1enXRbV0trPR0+exSUspc7obWsVBKHXvcbmjdWiptlpagAqS8tjHhcxPGjg2UnD7hBPvCVR6PJB6CXOi//loqXkZzkfJ3+QylRw9pI+6/cMTFBRJE4+Ik9yFUUOHPR/B4JCj56iupMfLEE5IbkbcPiDHw++/w4INSqvy112SZyC6o8D8vKyv0UozXKzuA3nzT/hwlYdo0KTFfoYL0a2nQQHbgHDlS0iOLOZ2xUEqporRtW+jkxNxcLnjuOUkgdFIlcvZsSfY8fBgeekjyS6K5QJ1zDnz7rf0x6elSXfOff+Ri+Mcf0hsjVLKoZckxLVtKvYtwsyfvvAPXXiv5ERddBDNnSiBiWXLehITYXGh795ZzlxbvvgvXXy+/59yfjX+Hzg8/yOxOKae9QpRSqjSwmx3wsyy5gN9xh1wQU1LyF7DyJ0w+8IAEFVlZcPbZcnw0uzRcLujaNfJxSUkSBPjfwxNPhN+BYowU0/rzz/DnsyypI3H11XD++VIUDILPGaliqFOlaRZg505JXjUmdG2QmTPhxRdl5qac0MBCKaWKkpNdCl6vzDr4cwcgsLThn1Ru1UpmJ/wX+/fek9yKaLlccMst0T0nVB+WUOf1p1iGYozkPrz3nsx+hDumsDwe6Nat8OeJlbffjlwX5KWXJM+mjOVchKOBhVJKFSW7nhx55b54GyMXmqQk6drapk3gwnPgQPStz/25D2+/nb+hWCROgiP/eCMFB1OmBAdQsVbaSnAvWRI5YNi8WWZ8CrNVthTR5E2llCqsjAxJGOzVS+ogdO0a6LURqeCUHWPk3F9+GXxxeuABZ71B4uMl4TIpSUpmz5oltR6i1bq1VC+NdIGMtCSTmCjLFIUpCQ6BceQuYOVPeH3uuUBya2ngrw1ix+WS31U5oYGFUqr0OXAAnnlGdhPEx0shqH//W6oiljZpabI986abZHZi82apoHn33RJg1KhRuPP7fPDjj9Js7eGHpVX5W285e27FipCZKUmeH38sOz4KwrJg1KjwsxEulzRDq107fLVKt1uSRn/4IfKsRs2a0KFD+PMkJ8vyQffu8nputxQX++EHuP9+5++rOFx4of3sjNsNZ51VrgIL3RWilCpd9u6Vmg/LlgV/A3a7pUrlb7/JN+jS4vrrpc9FqG/hbrf0Afn99/DdRJ3wLx3ExclnEs03/rlzg5M1s7Jg8WIJONq0kURRp156KdCEzF8R0+uVWZAJEyR34qyz5L7cF1O3W+pZpKXJdtVIMxutWsHy5aEfq1hRurt27iw/+y9hpTU/weuV5mpLl+YPMPxj/vVX2R1SymkdC6VU2XT//XJRyXvx8XplWeGKK2KT5BcLu3ZJoalwF3qvF777zj6ocLvt61ZA4IKUlRVdUOHxyPZVkM/z2Wclv6JLF1m2qVNHGoM5DXruuUfKiT/3nPQrefRRuWBOnChbRfv2lUDmsssCbeCrV5ek0+HD5blOdrCECypAlpfmzQv87C8xXlq53fD99xLEgfxO3G4Zc3y8dKctA0FFNHTGQilVeuzZI5Uds7Lsj5s1C3r2LJ4x2fn2WzjvvMKdY+hQKZRUFFwuWS6YMEG2NL76av5j3G4pKPb77zIbECvZ2VILo1IluYgOGyaBTaTfbSSWJRfpv/+OzTiLi88HP/0k+TLp6dJh9dprS2+F0BCKZMZi/PjxtG/fnuTkZJKTk+nZsydTpkwp9GCVUgqQDPpIFx6XK/gba1Hbvx/++1+5ENSvL8s0778vF85YfFNeuzZQlTJ3C/RIsxhO+HyyPNGmTeigAmQGZMkSGD++8K+Xm8cj5bX9n5HbHZuZJmPyz2js2ycl0U84QfI8evaU3S+ZmYV/vVhxuWRZbNw4yZG5774yFVREI6rAokGDBjz99NPMnz+f+fPnc+qpp3LhhRfyzz//FNX4lFLHEicJbMYUX6Lb+vWyw+Chh+Tiu3WrfLO/+mopTtWhQ2DKv6B+/11mLX7/HS69VEo9N2kiRZWKi88XPvCIlf79Y7fFNHeVyg0bJOgbOlSWZXbulOWYG26QPiqHD4c/z4YN8MgjMqvTvbucY8OG2IzxWFbYbmdVq1Y1b7zxhuPjtbupUiqsI0eMqVIlcnfPNWuKfiw+nzGdOxvj8YTv4PnAA8bcckvkbqB2tyZNwr9+5coFP2+0N8sy5t//Nubvv4v28yzsOD0eY667LnDerl3tf0eDB4cez+efGxMXF/y7c7vlvsmTi+YzKOOcXr8LnLzp9Xr56KOPOHToED1t1jozMjJIS0sLuimlVEgJCbLrINwSg9sNl1wCzZoV/VjmzpVto+G+Zfu/5T/5pCRC+scH4bdchnLRRaHvt6zY5jxEYgz873+Sb3HrrYWvNZGXZUl+QVJS4c7jcgW2lM6fL8tidr+jN96Q7cu5rV4Nl18uz8v9Pv27Wa64QrrkqgKJOrBYsmQJlSpVIiEhgdtvv53PP/+cNv5s1xDGjBlDSkpKzq1hw4aFGrBSqpwbOlSmsSGQc+C/YPfsWXydK3/7LXKAcPAgrFsnzbk++gj69YMWLaSuxdtvyzZDO2631KYIZ8+eqIddKP4L9BtvwGOPxf789etLwmI0gVduFSpIcNK+vfz8+++Rz3X4sGyvzW3cOAk6QuV8+Ocvxo0r2BhV9LtCMjMz2bhxI/v372fy5Mm88cYbzJgxI2xwkZGRQUauxjJpaWk0bNhQd4UodSzbswfWrJEdA61b55+hMEa+iU6YIHkONWpIXsOZZxb8ohSNzEzJcXjvvcjH+juNhrJ6tdSQCFV907KkPXm4GQuQGhPRzPLGxUlwEIskyQoVYMcO52Wms7KkhfuSJfLcCy+UICuvJUsCgUE0qleXRNfc142XXpKOsJG2sObdRdS6tf2WVpCxr1gR/TjLMce7Ogu75nLaaaeZW2+91fHxmmOh1DFs82ZjBg4MXhNv3tyYDz4o6ZEF/PSTMTVqOF/z//RT+/Nt3mzMHXcYk5Agx8fFGXP66casWhV5LNdfX7j8jcLevv7a2Wf288/G1KoVeH/+MV96qTEHD+Y/fvjwQF6H07GMH29MVpYxb7xhTMeOxlSoYEzVqpGfl5xszOHDwa/fvHnk5x13nLP3fgwp8hyLXIFJ0IyEUkqFtG2bfLP/5JPgNfHVq+Gqq6TOQkn7808491yp/umEZUVemqlfX6bV09PllpEh9QyOPz7y+e3yTcLp0MH+OW6382qb6emRj1m4UEp1+9vD5y7i9fnnkq+Q16hRMhtks4weZMgQuPFGmQW5+Wb46y9Z4ti3z/55liWl1fPmdZx8cvDW3rw8HjjlFGdjy8sY+Oor2QVTu7bs8Pn3v2Xm7VgRTbQydOhQ8+uvv5p169aZxYsXm0ceecS4XC7z448/xjziUUqVM7ffHj573/9Nd+fOkh3jgAHRzxA0bly0Y5oyxf5zy3urW9eY1q1jM2Nxww3GrF9vP75LLok8vrlzQz/X5zOmRw/ZvRHuua1aybFPPWV/HAQe9/8OL7zQmMzM/K+7aJH9bIllGfPnn/bvOyvLmEOH5D3kfj833RQ8Bv/fK1Y05rff7M9Zyjm9fkcVWNx4442mcePGJj4+3tSsWdOcdtppUQUV0QxMKVWOpKcbk5QU+aIwdmzJjfHIkYItO7RvX/RjW73a2bS//yKWmBj5uIoVI79ft9uYSpWMmT079LjS0yNf7D0eY+6/P/Tzly939p7mzzemTp3Ix7VpY0zbthJQfPONMV5v+M903DgJIHIHRf6/v/xy+Of98Yec3/++GzY05pln5LN4/XX7f99Vq0owUkY5vX7bzAXlN2HChKKYNFFKlXc7d0aeVne7JTmvpBw6FP0WS5cLBg60P+bgQanUOX26LAElJUmyYXy89Na4/PLggk+hHHecJBveeKOUEbfj9Tp7H4cPy5LIwYPht2t6vfJ7O/98md53u2X5wr8N9uBBZ70/wrWOd1qW+/ffpXmZnbg4OOMMeP55Z+e84w7ZtfPii/Dzz3LfaafB4MHhu8B+9pn8viwr8L43bZKdTF9/LctBliWhRF4+nyzdfPihdMItx6IKLJRSqkBSUsL/B9cvO1t2ExTW9u2wcSNUq+YsjyH3GKtUCX8RzMvtltewq5A5a5b0Etm/P/hi5H/+W2/BAw/AlCmBbp3h1KoF33wjF0//hbAwjJF8khkzpNV7OF6vNFvz76pISpLtwM8+K59XcrL9zhVjJDAKxenv20k9D2Ps8yZC6d5dgj4nUlPhmmtCb1P1+ST4sfv3DTK+338v94GFdjdVShW9lBRpp223VdQYuRAX1PLlchGvV08uGM2bQ8eOUkypTx8pqnXKKfDuu5JAaYxsFX3jDekwuX+/FIaK1KPDf/Fq3FhmIWrUCH3c1q2yPTY1VV4rVLdWkETR00+XWR0nWreOfAF1coG1LLmobt3q7HX90tMlGbVhQ3n/N95o/5kZA9ddF/qxU06RfiJ2EhNhwACZKbFLSs3Oln9jRWXiRHnv4YKHSEGFX3Fsly5pxbQ0k0NzLJQ6Rs2e7Ww9fdGi6M+9dKkxKSnhcwb8iXr+dfG2bWU9Pvcx8fGyLbR58/zn8T+/b1/JF/jqK2Oys+3HNGKE85wNl8uYJ55w9l7nzImc03DDDdHnihT0VrWqMdWq5c+18H9mzz5r/35GjQp/bssy5uGH5bh337V/z23b2udUFNbNNztLoo2Uc1KatlZHqdi2myqllCMNGkQ+xuORLYrRuv9+We8Pl1vg/zbpnzX4+29Ytiz4mMxMKdHdubNMVefOe2jRAm65RQp7jR0rRa3OOku2jYbz2WfOczZ8Pvj0U2fHdu0qZc1DffN1u2XZ4NFHpQpoLLqvRrJvn9zq1w9uDnf88bKl9IEHwj930ybo0kXeD8jv338D+T088YT8/eqr5X35j4PAZ9CokeSeFHQ2ID1dlqUuuUSayw0dKhVVc3NaijxczonbLbNpAwYUbIxlSTEFOjl0xkKpY9SKFZG/7cXFSSOsaGzeHF2hJSe3v/82Ji3NmL/+MmblSmOuuSb/t1H/bMSLL4Yel5MiTLlvLVo4f89Hjhhz6635v0G3bStjNsaYX36J/ecS6fbmm8YsXCi/69zbMLduNebXX2ULp9drzIYNxpx3XvD4qlQx5rTTpMHY0KEyCxXKokXG3HmnMSefLOd45538BbCcyMw05scfjXnuOWNq1gyeZXG75Xc9fnzg+J9+sn/vbreM6dFHA7MouWdeatQwZvHi6MdZihTJdtNY0MBCqXLE55M6CxddJLUTevc25pVX5KKc1+HDssUx0sXpnXeiG8PMmbG9OHo8xjz0UOD8H35of7xlyYU0r7wVRiO95pVXRve+jTFm2zZj3npLLoCzZgVfzI2RKpX+i2RRBxlutzGnnBL8+uvXB2/NBGPq15dlq3CfTbSBZUG88UYgmIh0+/lneY7XKxU/7X6n338vx86dK1VTO3QwplcvCV727i3691XENLBQShWt7Gy5eOb+dmZZcmvcOHRhpcGD7fMgUlKi//b5zz+xDyxuuCFw/t697dfN3e7QdRp++y261/31V/v36fXKbMSsWdEVEtu82ZjHH5dCU9EEFwVp2V67duB1N22SnwtSG2T1aufvL1rjxkUXLJ15ZuC527ZJsOD/d+Jyyc3jMea114puzKWE5lgodSzbsQOeekrWcwcOlOz/WJfef/ZZ6egJgToI/v8kb9kieQjGBD/n8cehZcv8uwjcbrm99170bbVbt468YyAaxgTngyxaZF+rweuVUuB5nXQSDBsmfw+39u+//9//lp0r4bzzjmzZ7NBBWrTXrSulsrdssX0rgOQ+jBghu2Ty/j7CcbkkZ6F6dWfH+yUny+6WDRtg+HDJSYm2NojbLZ1hi8KhQ/JZO+X1Sh6N/z3UqQMLFshnc/31cOWVMHq0bG++5ZYiGXKZVEyBTg6dsVCqiH3wgeQq+Ke//d8YGzYMPWVfEFlZgaZTdrdQJYz375dMf38lSZdL1sr/+KPg4/nii9jNWFhW8DfmSBUvLcuYs88OP7bJk2U63D9bUKFC4LkdOxrz/vv5lzBye/bZ8DMr9etL/oITF1/s/DOYNEnG5GTpyn9zuYypV6/wn7/bbcy11zp7T9F6//2CjSkjo2jGU8bojIVSx6I5cyR7PisrUMjH/21r61apLOiksVQkK1dGrrvg8cDUqfnvT0mBMWOk6NKuXXDggFQtDFft0IkLL5TZDn8rZ48neAbD/3f/DIHHE772wr/+FVzQ6aKLIteFuOCC8I9dcokURcrKkpmdQ4dkB8uhQzLTcdVV4Wdbtm+XHQqhZGfL46NH24/N76STnB0HMhPy+OMyRidcLvn3Fm1NjFAsC2rWLPx5Qtm2LXKdkrxjadMmeLeLikgDC6XKk//+N/y0u9crFRY/+aTwr+N0St3uOLdbikvFotomSEC1fbss+zz2GLzyikzJT5ggVSObNJFlhLffhsWL4dRTg59fpQo88wz85z/B9993n/wZ6uLvdktFzKuvjjw+/3IPyJbQUO9740aYPBm++ELKQ7/7buRlmLffdrbMNWhQ5GP8Ro1yHrCAs7LeTmVnO/s8C6JOneiWZoyBe+8tmrGUY5YxTv8LERtpaWmkpKSQmppKsv/bhVIqNhIT7S8yLpfkXXz8ceFeJzNT1vkjtRf/5Zf8F/DSZN06WLpULvK9ekFCQujjvv5achqOHJEAw7LkAlWvHvz4I5xwQuHGsWuXVP388stAMBYXJ7UgVq0K38vDb/NmyaWIpGnT0t2+2+WSXhwfflg05z94UIKLSDMx/hmYK66QqqzHQrVMB5xev/XTUqq8MEam2+34fLFJ4oyPh3vuCT+F73ZDq1ZSpKk0a9pU+mX06xc+qABpwrV5s8wIXXaZJO299x6sWVP4oCItjZGtWzM6d1AB8rtcvpzR2dmMtHu+yyXLS0783/8VYqAhFGa2yT9m/78hjwduu00SVYtKpUoyK2XH7YYTT5SZIA0qCkSbkClVXlgWtGsHS5aEn5p2uaR/Riw88gjMny8Z8m53YIrZ5ZIlji+/LJ7Kj8WlWjWp8Blrr7+Oe88eRhz9cXiuh0YbwwhgVLjnut0SGFWq5Oy1+veXXRHPPlvg4QY5fNj5sW63/Lt0uWR25vnnYd48+fealCQVL2vVis247Nx1lwTGQ4fKrhW/44+H114r/cFwGaBLIUqVJ2++ad850e2WqXAn5bWd8HqlFPWrr0pCZ5Uq0gHyllui36p4rGrdWmYmgBHAQ8DTkPPzKIKDjSBxcfDHH5E7o+ZmjCQkrljhPFcmL5cLTj5ZmpA50b27zPRUqiSJtnXqFOx1YykzE6ZNk+CiSRPJwylPgXARcHr91sBCqfLE55O6FR9/HNym3P9t8a23wneaVCWjShVITeUw0A34B4gHMokQVADcfjuMHx/9a86bB337Ss5ItImXbrd84//5Z8mfcbK0dsEF0u796qvl/aoySXMslDoWuVyyLvz669C2rdzn8ch0+YwZGlSURnXqsAU4BQkqQIKKeCIEFQAzZxbsNbt2hblzoVu36J/bvLl80+/VS26RuN3w3XcweLAku372WfSvqcoUnbFQqjzzeiXY0CneUmv+4MFc+NJLbAWSgHSimLGoVUuqrBbUqlXSuTWSF16QZYxWrQJLBllZsjMod55CJJYl/x5//12WR1SZojMWSin5tqhBRan18ccf0+f119kK1ESCilFAxtE/RyC5FiG5XJIbUBjNm0vRtHBFo9xuWe4YPBhuvFFmKPz/nn76KbqgAmRpzrJilzyqSiUNLJRSqgS88847XHHFFRw5coTmzZqxi+AZiuEul31w4fPJ9szCevNNSaYM1b+lTh3JywnFSZ+SULKzpQBYLItqqVJFt5sqpVQJOOecc2jSpAkDBgygQoUKxMXFMXzQICnL7vFA794Mv+UWmDIFb94Va7db8iOiqaYZTqNGUlr8+efhjTek4meNGnDzzTBkSPgtoLVrF/w1vV5ZSrGrHaLKLM2xUEqpYpK2dy/JM2dKh8z4ePb36UOVk08O/4SMDOmQOn58oGZEQoJ01vzvf53Xr4iGf7kikowMybHYty/612jSRKqeqjLF6fVbZyyUUqoYzHvrLS68+Wae9Pm4IS4OfD6qeL1SkOmTT0LX/UhIkABi5EgJRnw+KXBWlFs2nebk+MdmVzclFJcL7r47+nGpMkNnLJRSqoh99Pzz3HDffRwBOgFzgZyMBn8J6Tlzouu8WVq89ZZU88ydyFmlCuzfH1yRFQKFtb7/PrAMsn+/lEuvUiV2hduORcZIb55ffpEAtHdv2WYew39TuitEKaVKmM/nY8SIEQw8GlScC0wjV1ABcuFdsEBqPZRFN9wg7dK//VaCjJ9+kjyN77+HPn0Cx9WrB088EQgqNm6UHJGaNaUUfcOGspX1559L7r2UVevWSd2aM86QWaT//U8qnDZtCosWFftwdMZCKaWKwKFDh7juuuuYPHkyAA8gpbpDfn90u6WT5vvvF+MIi8nBg5KPUbVqoKHXhg2SfLp3b3DnVpdLvnl//DFcemnJjLesOXhQGuFt3Zq/C67bDcnJ8M8/kg9TSDpjoZRSJSQjI4NTTjmFyZMnExcXx1uWxbOECSpAZi327y++ARanSpUkfyR3l9CHHsofVIBM4RsjO1LS04t3nGXVe+/Bpk35P0uQf1dpaQUr+14IGlgopVSMJSQkcP7551OjRg2mTp3K9c2a2T/B43FWAbM82LMHJk8OfSH0S03V0t9OffSR/eNer5T5L0YaWCilVIxk5GrINWLECJYsWcJJJ50Ed9wR/I09r+xs+ZZ+LNiwwT6oAOnaunp18YynrEtNjdylNi2teMZylAYWSilVSD6fj+HDh9O7d28OH603YVkWdfztwe+4Q1qb583Q92/tfPhhWSc/FqSkRD7G65XcABXZCSfIjFc4Lhe0bl1840EDC6WUKpRDhw5x+eWX88QTT7BgwQI+//zz/AdVqABTp0rPjdxFrZo0gf/7P3jqqWIbb4lr1gw6dLCfwTEGBgwovjGVZbfdZj8D5PNJYFuMNLBQSqkC2rRpE3369Akkab71FoPCldmuVAnGjpVupIsXw4oVMt1/663HVqM4y5Jtp+F6hVgW3HKLlBpXkfXpA7ffHvoxy5Jtp5ddVqxD0sBCKaUKYM6cOXTr1o2FCxdSs2ZNpk2bxvXXX+/syQsXwoQJcoFdvLhIx1kqnXcevPsuVKwoF7+4uEAn3htvhJdfLukRlh2WBePGyWeWu9tt7dry7+vTT4u98JrWsVBKqSh98803XHrppWRkZNCuXTu++uormjhpYf7VV3DNNZJMd7SsN16vVEj88EOoXLnIxx4TGRky9qSkwp3n4EGpWbFmjVTevOyywreCP5b5fLL11OuVGR+73IsCcHr91sBCKaWitGHDBrp27UrPnj2ZOHEilZ0EBLNmSTlrf62G3NxuOO00qUpZmpdFvvgCnn1W3gtItcf775emaKV53ComNLBQSqkY8nq9uHNNKa9du5bGjRsH3WfrnHPgxx+De2fkNWeOVKQsjZ58Eh59VJIu/fkRliVB0k03weuva3BRzmnlTaWUipFNmzbRrVs3vvrqq5z7mjVrhnvvXpg0SaofLl8e/gSHDslshF1Q4fHIskBptGiRBBUQnHTp/146YQJ8+WWxD0uVThpYKKWUjdmzZ9O1a1f+/PNP7rvvPrKysqTc9K23SmOtK6+Ea6+VWgH9+kkBqLwOHYpcxMiyir2QkWOvvmq/Xu92a8KlyqGBhVJKhfH+++/Tt29fduzYQfv27Zk6dSpxHo80yJowIX/9gJkzoVcv2LUr+P5q1SIXhvJ6oWXL2L6BWFmwwL5WgtcrO12UQgMLpZTKx+fzMWzYMK6++moyMjK46KKL+P3332ncuDFMmyYtzkPVYcjOljoVL74YfL/HIzMcdvkYbrfMfJRGFSpEPqawO0RUuaGBhVJK5ZKVlcWll17KU0erYQ4dOpTJkydTyV8x89137ZcFvF6Zzchr6FBo3jx/cOGvQPnii1CzZgzeQRG4+GL7xEz/LI5SaGChlFJB4uLiqF+/PgkJCbz33ns89dRTuHKXn966NXITrbxLIQBVq8Lvv0t55dwzACeeKNs4w1VPLA2uv15an4eacXG5JLC4++5iH5YqnXS7qVJKAcYYrKPfyrOzs1m6dCnt27fPf+CNN8ouELvgokEDKVQUzuHDsHmzBBgNGhRy5MVk8WI480zYvl0CCWNkOahSJQmMTj21pEeoiphuN1VKKYfee+89zj33XNnxAXg8ntBBBci3d7ugwuWSXhd2KlSAFi3KTlAB0L49rF8vQdWgQTBwILzyCmzZokGFCqIzFkqpY5bP5+ORRx7hmWeeAeDVV1/ltttus3+SMVJ6+vPP8ydwejwSLCxYIDtBlCpHdMZCKaVsHDx4kEsuuSQnqHjkkUe4JdJMA0gS4wcfwJAhkJgYfP9ZZ0m5aw0q1DFMZyyUUsecDRs2cMEFF7B48WISEhKYMGFC+HbndlJTpXZFZiZ06gSNG8d+sEqVEk6v37FtfaaUUqXEyJEjcbvdDB8+POj+OXPmcNppp3Ho0CFq167NF198QY8ePQr2Iikp0plUKZVDAwulVLnkdrsZMWIEQFBwMXHiRA4dOkSdOnWYM2cOjRo1KqkhKlUuRZVjMWbMGLp27UrlypWpVasWF110EStWrCiqsSmlVIENHz6cUaNGMWLECEaPHg3A6NGjefnll7n11ltZvXq1BhVKFYGocizOOussrrzySrp27Up2djbDhg1jyZIlLF26lIoVKzo6h+ZYKKViIdxSB0gA4fV6efTRR7nxxht57733iIuLIysri1GjRoV8jlLKntPrd6GSN3ft2kWtWrWYMWMGJ598ckwHppRS4Vi5ykvnDRT8j/Xo0YN169axY8eOnMfi4+PJyMgovoEqVY4Uy3bT1NRUAKrZbK3KyMggLS0t6KaUUoWRO7DIvdSR+/7Zs2ezY8cOko42x4qLiyMzMzPnWKVU0ShwYGGM4f777+ekk06ibdu2YY8bM2YMKSkpObeGDRsW9CWVUgqQwlZ5g4vcPyclJXHllVcyaNAg0tPTGTVqFJmZmflyLpRSsVfgwOLuu+9m8eLFfPjhh7bHDR06lNTU1JzbJrv6+Uop5VDe4MLvnXfeYceOHbRp04b3338/aKkkVEKnUiq2CrTd9J577uGrr77i119/pUGEWvcJCQkkJCQUaHBKKWUnVHCxYcMGKleujNfrDZmo6f/Z6/UW2ziVOpZElbxpjOGee+7h888/Z/r06TRv3jzqF9TkTaVUrISasYD8CZ1KqcIrksqbd911Fx988AFffvkllStXZvv27QCkpKTkJEgppVRxyB1UGGNwuVz4vyeFKoyllCoeUeVYjB8/ntTUVPr27UvdunVzbpMmTSqq8SmlVD4uV+A/Xf5gIu+yiC51KFUytAmZUqrMsSwLy7Lw5W1bDjkzF8X8nzalyj1tQqaUKrfsgoZQwYZSqvgUqkCWUkoppVRuGlgopZRSKmZ0KUSpsmbnTvj+e0hPhw4doHt3CLPtUimlipsGFkqVFRkZMGQIvPEGZGcH7m/XDiZOhPbtS2xoSinlp0shSpUV11wDr70WHFQALF0KJ58Ma9eWzLiUUioXDSyUKgvmz4dPPoFQOx68Xjh0CJ55pvjHpZRSeWhgoVRZ8N574LFZuczOlmN0q6VSqoRpYKFUWbBrF0Qq+JSeDocPF894lFIqDA0slCoLGjaMvPMjORkqVCie8SilVBgaWChVFlx/ff6kzdzcbrj5ZnAV8P/Shw7pbIdSKiY0sFCqLGjdGu65J/RjHg/UqQMPPhjdOY2BCRPghBOgUiWoWBG6dZMkUaWUKiANLJQqK55/HsaMgSpVAvdZFpx1FsyeDbVrOz+XMXDLLTLLsWxZ4P4FC+Dyy+Gxx2I1aqXUMUa7mypV1mRkwB9/wJEjMtvQsGH05/jyS7joIvtj5s2DLl0KNESlVPmj3U2VKivWroU334Q1a6BqVbjySujTJ3yyZkIC9O1buNd8+WXJy/B6Qz/u8cC4cTIupZSKggYWSpUUY2D0aBg5UpIujZE/x4+HU0+FL76AypWL5rX/+it8UAGSKLpwYdG8tlKqXNMcC6VKyptvSi6DMXKR9/kCOz9mzIBrry26105KinxMxYpF9/pKqXJLAwulSoLPB088EX65w+uVGYsVK4rm9S+9VJZCwrEsGDCgaF5bKVWuaWChVElYvhzWr7evpulywddfF83r33235GqEqnvhdkP16lI7QymloqSBhVIlIT098jEul+z8KApNm8L330u1TpBkTX8vklq1YOpUSSRVSqkoafKmUiXh+ONlxiAjI/wx2dnQvn3RjaFPH9i8GT78EH7/XQKZ006TJZCEBOfn8fkgM1OeE6nsuFKq3NM6FkqVlJtvhrffDr07w+WSapobNth3NS1qy5bBRx/B3r3QrBlcfTXUrCmP/fWXtGr/9FPIyoJ69eDOO2HIEE38VKoccnr91sBCqVhIS5M6FElJ0LKls2/ue/dC796walVwcOHxQFwc/PSTPF4SMjLghhtkNsPjkffj9UrA89//SmGuc88N3skC8viJJ8L06UW3VVYpVSKcXr81x0IdO3w+eOcdqSYZHy/9MQYNgj//LPg59+yBW2+VctqdOklPj+bN5XUiqVZNSnEPHQo1ash9cXEwcCDMny9BhTGwaROsXm2/bBJrd94JkybJ37OzZUbCH0QMGSJVO7Oz8zdG8/lkJmPUqOIbq1KqVNEZC3Vs8HplGv+jj+Rbtc8n9/uXGSZNgksuie6c+/dDjx5y0c8942BZEhA8+SQ88oizcxkjCZ0JCYFtoB98IOdYulR+TkmB226DESOKdqlh0yZo3Nh+x0okycmwYwckJsZuXEqpEqUzFkrl9uabElRAIKgA+cbt9cJVV8Hu3dGd89ln8wcVELggP/qo5Eg4YVlQoUIgqBgzRmZTcjcIS02VZYhu3eS9zJtXuIt/OF9+WfgkzLQ0CVCUUsccDSzUseGFF8JfLI2Rqf6333Z+Pp8PXn3Vviy2ywVvvRXVMAHJ1Rg2LDC2vK+7dKksl3TrJksvP/8c/WvYOXAgdH2LaOlshVLHJN1uqmLDGPl2fugQNGpUuhL3srLgn38iHzdvnvNzHjwoyZeRrFkT/rFdu2Qm5c8/Jefj3HNlOeaNN+TCbhe0+K1aJW3Tv/8eTj/d+fjttGmTP3ciGi6XnKNBg9iMRylVpmhgoQrv88+l58WSJfJzYiJccw089VQgKbEkuVzBeRWhWJZc3J2qUEHyM+wuwJYFVaqEfuyTTyTnw/98y4KJEyW3oVEjZ0EFyHtyuWDwYAmeYlFH4pxzpEjW7t2hPzOPR4pn7d0bepw+nywDaU0LpY5JuhSiCufVV+Vb9t9/B+47ckS+iffoIbsmCmLHDsknuOceePxx+WZeUG43nHGGfW8Mr1cuqE55PNJvw67GRHY2XHFF/vvnzpXW6P6dFj5f4AK9YQP89pvzcYA8f9mywu1uyS0uToIclyv/Z+bxSNDxyy/QtWvgPv+xLhf85z+h37dS6thgillqaqoBTGpqanG/tIq1XbuMiYszRhZC8t/cbmPuvTf68z79tDEejzEul5zf7Zbz3XSTMZmZ+Y/Pzjbmyy+NOf98Y9q2Neb00415911jjhwJHPPLL/bjbNgw+Hgn/vrLmIQEGWeoc552mjE+X/7nXX65vL9w4yno7Ysvoht/JHPmGHPOOcZYlpw/MdGY224zZssWedzrNebHH4255RZjrrjCmOHDjVm/PrZjUEqVGk6v37rdVBXc2LHw73/bLzFUqiSzFk6XGd54A265JfRjliUzGC+8ELgvIwMuvhimTJFvzP4iTj4fdOgg36yrV5dj/+//pD5D7mJPPh/Ury/HtWzpbIy5zZgh38537JBv7v4ZiAsvhPfeC51rkpRUND1AZs+G7t2dH3/4sHRQ3bJF6nBcdFGgd0huqamytbZWLWft1pVS5ZJW3lRF7447YMIEmdK3s2WLlHuOxOuVHIMtW8If4/HI47Vqyc/33y+BRqjgxu2Gs88O7hC6fj289hosXCgXyfPPl8CgQoXI4wsnKwu+/RYWLw6cs1Wr0McaEwhAYq13b2nF3rdv5GNff10+u4MHAwFZUpIUtvrXv+zzI/bvh/Hj5Xe/YwfUrSvlyW+/PXRgopQqFzSwUEXv4YfhueciJzDu3+/sgjN3rrNv3BMmwI03yrbI2rUjdwpduVKqYeaVmiozBzVq2OdfxFqHDpKTUhTBBUh+xKBB9o9fc034x59/Hu69N/RjW7fCSSdJLkju8btc0ljtt98CQV9exsjzs7Nllqgke6AopaKmBbJU0bv8cvugwu2GM890/i324MHIx7hcgePmz3fWfnz69OCfv/9eOntWqSKNvurWlQRRJ+eKhcGDiy6oALjppvBbYb1eeOgh++c/9lj4z+L666XwVd7x+3yytfa22/I/xxip59G6tWxBbdJE/nzySemKqpQqVzSwUAXXqRNccEHob/uWJbcRI5yfr0WLyFsUfT65QPn/7kTu4157TZZH/vgjcN+uXbIEcMYZgQvq1q2yXLJtm/PxO3X99dKa3P8ZxVpGBrz7bujHZs2S92YnNVVqaixeHHz/qlXSGC1cMOn1StXOjRuD7x86VGaYVq4M3LdjBwwfHug5opQqNzSwUIXzwQdycQAJMOLi5O9Vqkh9i549nZ+rQQPZ8mm3LFG/Ppx2mvy9Y0dnSaH+DqHbtsFdd8nf89Zf8Pkk2HjwQTl//foSONWrJwFHrLZygry/SZMkTyFcLkZhzx+uIJiTol4gSamdOwfnpzgpIGaMzCT5LVwordX9j+U9dsoUSXJVSpUbGliowqlYET79VOoojB4tu0QmToS1a2Wa+6WX4OOPZQeCEy++aL/2blnShwKkO+i114YPRDweOOUUaNtWfn7zTftZDp8PXn5ZLqq5TZsmwcns2c7egxNutywbLF0qSzstWsTu3BA+GbVJE2fP99fWuOKKQDDiNA8l9+/v//7P/vfpcsErr8jfvV753TotDqaUKpU0sFCx0aqVTHk/+aRcGJo2len+IUPk4lSnDowbF/k827bZtwffulUqen77rUzLjx4t36whuL+FZUHDhvD++4H7nFamzHth83olSLrlltg3/crMlAJjuZcJCsvrlS24oXToACee6KwXiDGS3OpvAd+3b+SEy/h4Se70++cf+6UOf3GvwYOle2tKimxRvvVWWLcu8hiVUqWOBhZlnTHw1VfSJyI5Wb7FX3NNbKfuo/Hhh3DddbITBAIzBAcOyDLEq6/aP//NN+0vXj6fdBU97zzo3192IvTtK+ft3Fl2JLRtK1U7Fy6UJQ2/ihULntPg88lOjlh/ri+/LAGSEwkJgWUgOxUrylbgAQPk3HmDofHjZcnKyQyEZcluHZAdONdcEz4osSxJir3gAgkkTzhB8lciBTFHjsiYDh0K/PzWW7IU5aTHi1KqdCnyUl15aOXNGPL5jBkyJFDp0V+B0eORnz/8sHjHk51tTIMG9tUhq1Sxr3B5xhkFqzrZtasxkyYZY/fv6rvvCl/dctKk2H1ePp8xTZpEfk2Xy5hTTjGmWbPoxuqv7tmvnzFvvy2VQv3mzDGmd+/I53C7jbnmmsDzli83Jj4+8nj9f/dX7bS7hTvG7TbmxBNj93krpQrF6fVbZyzKsi+/lJoDEDx9n50tP197LWzeXHzjmTUr8uvt32//Db1WrYLVN5g3L7DkMnJk6FyKM8+UZYDC1KwI11SsIA4floJddixLOoXOmJF/acCyZNmgSxcZV9735V+CmDZNdqJ06CB1QiZPlpmEl1+Wz8OO1yvdU/1GjYq8Gyf343ZLR/6ZjHDHeL2waFFwMqhSqtTTwKIse+EF+4ukzycVFotSWppc9H79FX7/3dlzdu0K/9g11xRu+2F6utSkCFWrweWSGhbHHx/6uQkJ9ueuVk2SQXMzRpZHfvwRVqyIbqxxcZGXZlyuQIO3ULsqDh+WgGH/fmdJj3PnSvO0886TXTWLFoU/1u2WnToDBsjP+/dLIm5hfj9xcYGdQ6HKnYfi75qrlCoTtPRdWTZ7tv3FxOsNrtdQUP/8I7MMXq90LO3VSy7gDz0kvT2i7XvRuHH4x844Q/JFpk4tXBGpsWOlemSDBsH3r1snO1YsK/+F2i5pFCRgyR18fPGFbE/N3Xm1Rw8J+Lp1izzG+PjAew33e8zd0yQUn09asEdq4V4QtWpJwOR/z5s2Ffw1XC4p+12lipRA79FDZlvOPTfyc+1KvCulSp9iWprJoTkWMVSpUuS163POKfj5d+0K5Dy4XIG187ZtjenSJXRXz0jjadhQumLaOXhQ1vWjPX/e9flnnsl/7h497M+bmCg5BJYlnVUtS35++ungTqUffhg6P8Dtlo6nc+Y4+4ynTrXPQ0hKii6fIla3li3l95Dbxo0FP5/LZcyzzwaf7/BhY5KTIz83OdmY7dudfZ5KqSKjORbHgrPPjpyPkHt9PBqZmTJ7MHWq/Ozv2glSe2H+/OhmFPxVJsePj7xLoGJFqRy5cSO8/bZUy7z++ujG73JJdcfcVq2SWR67cR85IjtMxo2T7bPjx8P27TI741+2yMwMFNrKO+vh9co38vvuczbOPn3yz6rk5qTkdXx87GcrVqzIP4PTsKHkaDjZqpqXzwennhp8X1KS1D2J5OBBmRlTSpUNxRTo5NAZixiaNSv8t12Xy5iqVY3Zv79g5/7oo9h+A65Y0Zgffij4e926VWYTovmGPHZs8DmmTi3Y8/L6/HNnY1i5MvL7mjzZ/hxOdlVccIHsGMm9MygWt/Xr84/3xx9lTE7G5b95PMb06hX6/Xu9xqSkRD5H586RP0ulVJHSGYtjQc+e0unT5QpO4rQsqWnx/fdScKggJk4s2DfTcLp3l7oTeWVnS+nvBx+UGYKpU/PPAoA0CvvgA+ev53LBVVcF3xeu62ZuPl/k4zZscPbZbNgQ+PuWLfDII5JfkpwsBcWef17qftgl4Ib6LPL66ivJg6hQIXa/swoVpG5FXmecAR99FEi8jIuT17SsQFVP//vxz/A0bSp5IKG4XM6SOBctklmjSH1OlFIlr5gCnRw6Y1EE1qwx5sEHjTn5ZGNOP12+ce/dW7hz9ugRu2++Lpcxjz+e/zUWLDCmfn05Ji4ukCfQrl3ob8vGGPPYY86+yY8enf+5Pp+c2+65FSsac+CA/Wfz/vvO3re/bsSff8q38lCvW5g8klDn6dfPmNato5tRyHtzu4256y77z2DRImNOO82YChUkB6VTJ2PefdeYr7825sILjWnTRv49vv66MYcO2Z/rwgud5Yi43cZUr27MsmX251NKFQmn1++oA4sZM2aY8847z9StW9cA5vPPPy+SgakSdvXVsUkI9Cc/bt0afP5Nm+RiG2r63uMxpmnT8BekTz81pnv30K9Xo4YxL70UnGiZ2w8/yEU43IX3uefkuD17jJk505h584xZscKYYcOMGTjQmDvvlHNUqGD/vhMSjHnhBVmKatCgcBf6aG+LFhkzfHjBXtPtls9+587w/zZ+/lneX+5/H/7A5rLLpFBaNH78MbrxtW0b/verlCoyRRZYfPfdd2bYsGFm8uTJGliUZ9OnO/+WHO7m8chMxJdf5j//Qw9FzgmYMMF+jOnpsrNg2TJ5jalTjcnMjPzevvrKmHr1gl8rOdmY55+XC+o118i48wZILlfgYtq8ubOgqnHj4gso/J/5HXfI+6hbN/JnnPvxxERjbrnFmB07wn92Bw7IZxXud29ZEthFI3cFWaczODNnRvcaSqlCc3r9towxpqDLKJZl8fnnn3ORv222A2lpaaSkpJCamkpycnJBX1oVNWOk58fEifL33NxuaN9e1uF//z2wlm5MoHJmQgKcf77sngjVubNRI6mLEI5lSY2HH38Mf8y+fdJye+lS2UlyySVSY8Npo7GpU6XyZY0asnsmI0NyQdasiVxsyuWSXhhr1wZ6XIR7HwX/v1jB9Oolv5c1a6Qa6YIFMl7/ZblLF7jySvm9nHmm7J45cEB+J5Uq2Z/79delK2u492RZklOxenV0fVmMkVbyjz8Oy5fbH+tywXPPSYM7pVSxcXr91gJZKjTLkkZQLVpIsal9++T+xES46SZ4+mm5CC1eDL/9Jsf37Svlp504eND+cWMCjcxCef99GUdmZiBZcOxY2b755ZdQtar9+d1uSUTM7emn5YLoZButzycVISdPDlSmDPc+nKpcWS7wheEv8w1w3HGyLXjePNlm6/FIE7O8gV7Dhs7PP2eOfHbhtrcaI8FWamp05c8tS4KdJk0kKdmOMYHqnUqpUqfIA4uMjAwycu2HT0tLK+qXVLHidsOjj0qtgcWL5WJywgmyq8GvfXu5RatFC7nghbuIezzyWqH88ouU/vZftHNf5GbNgosugunTo+9kOm5cdLU5XC75lh0rF10kMzCFlTfQ6dpVbrHgtI9LQfq9gJQZr1YN9u4Nf4wxoXcYKaVKhSLfbjpmzBhSUlJybg2j+XakSoeEBLkw9ewZHFQUxp132l/Es7Nlyj2UJ54Iv63S65W+JdGWMs/Kgt27o3uOyxXbwlT16hXu+W63tInPu802lvr3t3/PLpcsJ0VaUslt2TJ47DEYPFgKkt12W/ig0O2WJbbmzaMbt1Kq2BR5YDF06FBSU1Nzbpvs1tXVseOqq6RPRN4AwX9Buece6SeRV2qqzEbY5UB4PPDZZ9GNx+OJfoYjO1uaeUV6XkJC5Kn7Fi3kguyUv3+HxxOYHWjcWPJGormoR+uCCySHIlztDZ8vdAO4UDIy4OqrZfnsySel4um//gXPPhvoteJ/b/7X69pVqrIqpUqtIl8KSUhIICFS10h17PF4pDDWM8/ASy/Bzp1yf9OmUizr1ltDP+/w4cjntiz7hMrc/Lkc8fGSABop9yP3a9SvL63pv/tO3kuoYMflgjvukLyDr74Kfa6aNeGHH6B6dUmItXuPHo+c5+STpdOoP3eif38J1CItQWRlSUCUmBh9IOV//e+/l/Lc/mJVxgSaoD35JFx8ceD4+fMDDex69YJ+/QKve+edUiAM5HH/5+fzSS7H449LWfe1a+UzGjRI3mNh2t4rpYpetNtNDhw4YBYuXGgWLlxoADN27FizcOFCs2HDhphuV1HHkKwsKfK1YUPk+gRZWVKqPNI2z0hbHjMypClWw4aB51WpEt3WzkmT5Fz79wcKivm3b/r/PO88qY0RrqaEZcnr+mt2jBhhX38iVOEvJ6ZONebMMwPnPv54qbORlVWw8x08KMWvzj7bmD59jLnnHmP+/jvw+NatxvTsGfgs/Nt0W7Y0ZulS+V3bvU/Lki29Wq9CqVKjyOpYTJs2zQD5btddd11MB6ZUWEOH2tdnSEw0Zt++8M/PzDTmrLPyX9iiqYLpdhvTrVvgnFlZUrjrvPOk8+ullxrz/fdSLKpp08jFqvw1O7xeqXqZ+4LsdsvzhwyJ3Bk2lAkT5Pm5PzN/v4/zzy94cJHb7t3GrF0rdUXS041p1Sp0gTW3W4qYjR7t7PP+55/Cj00pFRPFUseiILSOhSq0AwdkW+nffwcvP7jdMo0+caJ9AuO4cXD33bGpL7FoEXToEP7xvXtlicOOxwM33CBdXP1Wr5YdItu2SVLntddCs2bRj2/LFsm9CJeTYlnwyiuyXFMQr78uSxZbtsjP8fGy5DF9evjnuN2ylPPbb5GTX+fMCeRbKKVKlNaxUOVX5cpyUXr6aQkS/PUu6taVrZbnnmv//Jdesn/c3xgrNTXyWBYssA8sNm+OfA7Inxtx/PFywS6sCRMiH/PSS9EHFj4fnH12/gJmmZn2QQVIkPP335GDCo+nYMGUUqpEaXdTVXZVqxbYVWJZsH07vPiifMMPV1/CGFixwn62wudzXugrXGLygQNS9fLEEyOfIzs7f7GuWFm0yH5brzGy3TNSpVGQ7bj//S9cdpnULrGrihpJVpYkZIZLIPV44NJLpSqqUqpM0RmLY0VmplwItmyRdthnnSU7A8qiJUtkV0LuuhPGBL4Bp6fLUkidOnDKKcHPtSwJBo4csX8Nl0t2idjtLvF4pOx4Xj4fXHih1NOItNzidksp7fPPtz+uoJKS5L3YBQ7+1ud2vvkGLr9ctohGU0QsFJdLZmSeeEK26xoTPD6PR0rDP/ts4V5HKVUidMbiWPDhh7I18vzz4fbbZTtg3bqyPl7WHD4s3+4jVWa0LLlwhXLxxZG3Zf7xh/QeCfeN2uWSXiq1a+d/7OefYdq0yLMAliXBz/ffF7xSZSQXXBC55scFF9hvPf37b/ksjhwpfFABco477pA+Jb/9Jr9P/+snJkq+ybx50KBB4V9LKVXsNLAo7z75RL69560quX+/1Ip4440SGVaBffSRNM2KdIHzeuUCH6qE/L//7ey1Nm6U2gkQuPD7/zzrrPC5Gu+/H7nWQlycVJlcvjx0k7ZYufhiSd4MNSNhWfI5Rvo8nn8+sE+jsFwu6Slz9dXyc48eMGUK7NkD69ZJwPjaa4WvQqqUKjG6K6Q88/mk4NTGjeGPqVZNdh7ExxffuArjiivg00+df3Petk1mBfIaNAg++CDy83fulAveW29JN9batWWHxsknh/+Wf8YZEtTYibQ8kduaNbIUkZ4uuQ1nnumsSJTPB8OGyZJC3teyLAlu3ntPljjs1KwZfblzkH9bbjfs2iU/JyfLjNnjj5fdZTiljmG6K0RJQy67oALkG+JPP0XeSVFaZGc7/+ZcpUr45L/atQPVIu2kpcl2x2i2PDpptFetWuRjDh2CG2+UWSfLCvQmadhQZm569bJ//rBhsnMmFGPgzTcjBxUgeRUF8frrsvy2fLkENi1bSs6HUqpc06WQ8sz/TTESfzntoub1Svnr//1PlmB27Ij+HN26OStF7XZLM6twuQvHHRd5xiAhIfRsRyROtpjWqpX/PmNkq+bAgbKFtVEjCSqMkdkHfxC0ZYskjS5dGv78u3bJDo5wLEuCDidBWseO0ZfRHjlS8jLi4qBdO9kdo0GFUscEDSzKM6fJb8XRcXbqVFnrP/dceOABuOUWGd/gwbL10KkbbpCLlV1w4XJB69bwyCPhj7nqKvvlH49H8gAqVnQ+Nj8nMxYVKgT/7PNJzku/frJVdvFimU0KdeH3+eQzGzMm/PnD9S7xM0aSMlesiDzWwYOdJaImJsr4lyyRbqVKqWOSBhblWZcu0KpV+Iuwv5FWv35FO4558yTZcds2+dmfH5GdDS+/LM2onKpVS3Ij3O7QsxFxcXDffTBzZqDFe1aW5CfkVrVqIPky7+fj3+44apTzceUWKaBzu2XGJLeXXgok0jqZRcjOlgAk3FLO3r3OZhnsdtf4XXKJBIIQnATqP/+LL8rvND1dAsi2bSOfUylVbmlgUZ75yzW73eHbk/sfL0qPPSYXnlAJl8ZIdcg1a5yf75JLJFgZNAhSUmSKvVs3eS8HDsgSQEqK1O047TRZ0qhQQdb4x40LfPu+5RZpr567GJbHIwmic+cWfGfCLbfYz6h4vXDTTcE/P/VU9K+TlRW+E2rTppHzRyxLZpEisSz4v/+TduX+KqMul3y2P/4oLe6VUuoo3RVyLJg2Taaz//47cF+LFjB2bNEnbe7bJ70y7P6Zud2yJv/oo7F73XHj4K675Nz+QMJ/sR8wQJIf/QGVMRLYHDgATZrIbEZhHDwo2yj9SYu5uVxSFGrcOHjnHVi5Uo6ZODH616laVXZrhNpKeuSIBEb794f+7N1u2b0yZUr0r+v1BpJJo2WM5Iikp8sSXHHtDsnIkP8f7N8vxbk6dy5Y23iljmG6K0QF9Osna/Z//RWovFlc/2ENlyeQm8tVsO2M4axbF/gWnfvC7h/Hp5/KNsvrr5efLUsuNrFSqZJU3bz7bvj448AYkpJk2adBA5kp8BfyKgi3W3Iywl3cExOlTsbAgfIauX8HbrfkjowdW/DXLohPPoHRoyUHA6Qfyy23yIxWUX3JMEaWakaODPSUAVmueeMN6N69aF5XqWNZkfdZzUPbph9jDhwwJi7OvjW2y2XM//4Xu9d8+GH7tuoulzEdO8bu9exs327Mt98a88MPxqSlGTN5svPW7HYt2487zpg9eyK//rffGtOuXXC79LPPNmbZsqJ/77mNHRt4/bzv5cQT5d9JUXjqqfD/BhITjfnzz6J5XaXKIW2brkqP666ThMtwa/5xcbB1a+waTp11Fvzwg/0xcXHSP6W4dewos0cFLY0dFyezEP/9rxSucsIYWXLZu1dmSoq7quXmzfK64d6zyyWzFiNGxPZ19+yR0vXhdh253bJt9/vvY/u6SpVTTq/fmrypit6oUVKsKtwU+tNPx7aLZYUKkdf/w3UlLUpbtkTuNhqOyyVLCdu3S26G06ACZCmkZUvo2bNkSmW/+ab9ko/PJzknsf6OY7drBmSJ6scf5TNVSsWMBhaq6DVuDHPmwNlnB19gGjWCt9+G+++P7etdeKH9xdvjkR4axS3cDg47LpcEZBMnShtxJxU7S4vsbJklWbYs8rE7dth3kj1yRHqwDBsmO2icnHPbtsjN3YwpWKE2pVRYuhSiiteWLbB6tSTunXhiwXYWRJKeLt/Qt24N3SPD7ZbtqieeGPvXtnPkiNTHOHDA/riTTpJS7G439O8viagnnFA8Y4yF7duleNebb8oOGZcrchMzj0d+b6ECgW++gWuukeTLuDgJGr1e2d3zzjvhi5iNGycJtHava1ny76QgFVaVOsY4vX5rYKHKp1Wr5KK8fr1crPxlsRMTZavpBReUzLjuv192KYSqZGlZsjti27ayW/5682bZart9u/Mmax6P1CaZNCn/Y7NmScM3ny9/gOB2y3bpL78Mfd7du2XpR3MslIoJDSyUysqCL76Q/iSZmdC1q3QmjdVyQkYG/P67TOG3bu1sy2pqKvTpI30+cl943W4JLL78Es45JzbjKwkXXywzDJGKc/n5l3rmzJHE1rzOOks6xdoFKQsWQKdOoR976ilZPgn1uvHx8vsL91ylVBBN3lQqLg4uu0xanr//PgwZEpugwhjZlVG3rlSfvOACaN4cTj1VZkrspKRIufFHHpHCYSAXufPPl2/nZTmo2LpVAqNIQYXbLb8bkM/j669DBxVpaZJcaRdUeDxSKyScoUOl6V1KSvD9rVtLwSwNKpSKOZ2xUCpaQ4eGbkfudsvulwULnJXK9vnk4pmUVDK7VEJZswY+/FC6ozZqJI3Yatd29typUyXQsmNZskRVt64EVhdeKDkloXaNbNkSue9KXBzcfLPkU9g5ckTGl5oqM0tdumjlTaWipDMWqvxYuVIqVtaqJUmfPXvKDERBa0EUxoYN8MwzoR/zeuXCNXq0s3O5XBKIlIagIjsbbr9dLrojR0rVzgcflAu7XRfV3PJ2bA3FGPjnH9kN9Nxzkj/RvHnoPImaNaWKqR2vV54fSWKizAYNHChLYhpUKFVkNLBQpdvUqdL46vXX5Vv0wYPSIOzqq+HKK50nCMbKu+/a72TJzpatoUeOFN+Y8vJ64dtvpZnaKadIXsm0afa7Ix58EF57LfD8rCwJ3LKzZdnm//4v8ut26SLBXyRbtwb/vHat5GZ88knw/fHx0qzNroS42y07RpRSpYYGFqr0OnRIdgtkZgav2/tnKj79NNCt9I8/JLs/mi6pBbF5c+QtshkZ0nytJBw8KDsdzjsPJk+WniUffij5H5deGrra6O7d0r7eLvB4/PHIQZzH46yRXN6ZJv9W1Lvvzr+DY/hwaQyXN7jwzzi8+GJsi6sppQpNAwtVen3wgSwt2C15jB4tXTJ79ZICXMcfD337yq6LolCrVuQKkR6PLHGUhNtvh99+k7/7AwF/UPb556F3SHz7bfgtmX7btslMUSR33y2v4a8X4vFELlLlt3OnJGvmVr26BI033hjcCbVtW2l5f/vtzs6tlCo2Glio0mvOHPuLkjGyPLJtW/D9M2dKHsby5bEf09VX2+968HhkJ0pJ1KHYskVmJ8LNLBgjMzx5C3QdPOgs5+DgwcjHWBY88YTMHD36KAwaJLtxXnwx8nMBNm3Kf1/NmrJMs3Mn/P231Cb566+SqZ5aEPv3y3jXry/pkShVLDSwUKWX02+6eXm9soziZFo+Wi1bSrvyUNxuScQcPjz2r+vE1KmRE1oPH5Ztrbm1ahV5FsayoEUL52Np2lSSQN9+G559VopmOWGXo1G5slQgbdy4bCRfbtkigWjNmlLltWlT2Vb77bclPTKlipQGFqr06t/feaGlvLxemfrfsye2Y5o5U7aThtKyJcyYITUSSoLTzyrvcf36yUUvXO6Iv7S4ky204XTpAscdZx8QpKTIclZ5sGULdOuWvxHa4sVSs+Tdd0tubEoVMQ0sVOl1wQVywbPbFWDH58u/TFIYM2bIRXjhwuD7LUsuyv/5D3TuHLvXC2fZMklUnT8/eKaha9fIz3W58hejcrnkQhcXl/+z9ueLvPxy4cZsWTB2rP0xTz1VdkuZ5zVsmCzd5A3i/KXJ77gjcs8YpcooDSxU6eXxyAW0Th25MPm/7fqXSJxMh8dqx4AxUkvD5wu/q8H/eFGZO1e+BbdpI9/su3aVGg6ffSaPt20r5cLDLSG53bIzJFTr9JNOkiTJc88NzFzExUmOxPz5zsqVR3LBBVIlM+9yR0qK5H7ceWfhX6M0SEuTxGO7GaT09NC9UZQqB7Typir9Dh2S/1B/9pn8vUMHSdw744zwF3K3W2YXfvopNmNYsECm8yOZOlVeN9bmzpViUtnZwcmZliVBzcSJEgRs2AC9e+dvAuZySRAyc2bkYGv/ftku66RAVUFkZcnvZdMmCTLOOqv8zFSAzCi1aWN/TFycNKQLVcFVqVLK6fW7gNlxShWjihXhllvkltu//iWJgXm5XHJzWgHTiQ0boj8uLU0KZVWvXvDlHL8hQwJFq3Lzfy+45x6ZjWjcGBYtgldegQkTZNdM/fqScHr77dI9NZIqVYp2u2xcXNnuiRJJ3r4kofh8zo5TqgzSpRBVdj39tOz88Nc38C+NNGggSyhOdyI44XRJpUYNee0+feTCUbu2LD2MGlXwapyrVskyhd0yy759gd0GNWrAY4/Bxo0y5b56tVTW1BnC4lGvnmx3tiuk5vXKtmSlyiENLMq6xYvhrrukKNQFF0gSXkmWky5O/lmJbdtkKeCVV2SKfd06qTQZS717h85NyK1qValVcPbZEgj47dwplSv79y/Y7yZUbYe8XC4JJFTpMGqUzCaFygNyuaTMeizyVpQqhTSwKKuMkXoJHTpI8aAZM+Qb63XXyV7/Y+kiU6WK5BfccYeUs45Ucrsg3O7Qyy65PfSQLFlA/iJVPh/8/rvzQlG51awZ+Rifz9lxqnicfrokqlauLD/Hxcm/S8uS/4/6+7IoVQ5p8mZZNXFi+OZLHo8UPfrrr6K5yB7L3npLku7275fP1ueTi8eYMbIcMXKkfU+Nhg2jD/qMkR0fy5aFL2RVoYIkbPovZKWVMbLLZNkyyZ3p37/0j7kw0tOlZ8vKlbIUNWCAbKFWqgxyev3WwKIscnKhAVkWOP304hvXseLIEfjmGymCVKeOFDyqUEFacn/8ceQtp+npwX0vnJgyRbaCQujf+bPPwgMPRHfO4rZwIVx/vSzf+SUlybhHjtQgWKlSTneFlGc7dkRusuWvAaGBRewlJsoOjLwqVgzMYoTjdsu0eLTOPlu++d5xh/z+/dtMK1WS/I377ov+nMVp+XLZLpueHnx/err0Ftm/v2DLREqpUke/IpRFTko3W1bBy2Grgrn44sgNyi64oOBbTy++WNq2f/ONVMKcNEmWP+6/v/T3znj8cQkiQi0TGSPvZ+3a4h+XUirmdMaiLKpbV6bgt28Pf0xWllRpVMXnrLMkmfaff/IHGP4ZhoceKtxreDyBJZGy4tAh+PRT+9wTl0vyhkaMKL5xKaWKhM5YlEVutxRECrcm7XLJDoEBA4p3XMc6t1uWn9q3l589Hln2sCzJJfjkE+jevWTHWBL27Ys8e+Zy2QfKSqkyQ2csyqoHHpDyzFOmBK/rezwQHy+dPRMSSnaMx6I6dWTXw9Sp8NVXkujZoYO0zz5Wk5WrVZMAKysr/DE+n1QIVUqVeborpCzLzpaCWC+/LMlxFSvKzoR775UW1UqVFtdcAx99FH7mwrKkuFijRsU6LKWUc7rdVClVeqxZI03cDhwInWvx0EPakEupUs7p9VtzLJRSRe+442DWrPz9W1JS4JlnpMCYUqpc0BwLpVTxaN1a8oKWLZNbpUpS2yLaYmFKqVJNAwulVPFq3VpuSqlySZdClFJKKRUzBQosxo0bR9OmTUlMTKRz58789ttvsR6XUkoppcqgqAOLSZMmMWTIEIYNG8bChQvp06cPZ599NhuPpTbdSimllAop6u2m3bt3p1OnTowfPz7nvtatW3PRRRcxxkFmt243VUoppcqeItlumpmZyYIFC+jfv3/Q/f3792fWrFkFG6lSSimlyo2odoXs3r0br9dL7dq1g+6vXbs228PU+c/IyCAjIyPn57S0tAIMUymllFJlQYGSN608LZqNMfnu8xszZgwpKSk5t4YNGxbkJZVSSilVBkQVWNSoUQO3251vdmLnzp35ZjH8hg4dSmpqas5t06ZNBR+tUkoppUq1qAKL+Ph4OnfuzE8//RR0/08//USvXr1CPichIYHk5OSgm1JKKaXKp6grb95///1cc801dOnShZ49e/Laa6+xceNGbr/9dkfP929C0VwLpZRSquzwX7cjbSaNOrC44oor2LNnD6NGjWLbtm20bduW7777jsaNGzt6/oEDBwA010IppZQqgw4cOEBKSkrYx4u9bbrP52Pr1q1Urlw5bMJncUlLS6Nhw4Zs2rRJl2hKOf1dlR36uyob9PdUdpSW35UxhgMHDlCvXj1crvCZFMXehMzlctGgQYPifllbmvtRdujvquzQ31XZoL+nsqM0/K7sZir8tAmZUkoppWJGAwullFJKxcwxHVgkJCTw2GOPkZCQUNJDURHo76rs0N9V2aC/p7KjrP2uij15UymllFLl1zE9Y6GUUkqp2NLAQimllFIxo4GFUkoppWJGAwullFJKxcwxHViMGzeOpk2bkpiYSOfOnfntt99KekgqjzFjxtC1a1cqV65MrVq1uOiii1ixYkVJD0tFMGbMGCzLYsiQISU9FBXCli1buPrqq6levToVKlTgxBNPZMGCBSU9LJVHdnY2jz76KE2bNiUpKYlmzZoxatQofD5fSQ/N1jEbWEyaNIkhQ4YwbNgwFi5cSJ8+fTj77LPZuHFjSQ9N5TJjxgzuuusuZs+ezU8//UR2djb9+/fn0KFDJT00Fca8efN47bXXaN++fUkPRYWwb98+evfuTVxcHFOmTGHp0qU899xzVKlSpaSHpvJ45plnePXVV3n55ZdZtmwZ//nPf3j22Wd56aWXSnpoto7Z7abdu3enU6dOjB8/Pue+1q1bc9FFFzFmzJgSHJmys2vXLmrVqsWMGTM4+eSTS3o4Ko+DBw/SqVMnxo0bxxNPPMGJJ57I888/X9LDUrk8/PDD/P777zpDWwacd9551K5dmwkTJuTcN2DAACpUqMB7771XgiOzd0zOWGRmZrJgwQL69+8fdH///v2ZNWtWCY1KOZGamgpAtWrVSngkKpS77rqLc889l9NPP72kh6LC+Oqrr+jSpQuXXXYZtWrVomPHjrz++uslPSwVwkknncQvv/zCypUrAfjrr7+YOXMm55xzTgmPzF6xNyErDXbv3o3X66V27dpB99euXZvt27eX0KhUJMYY7r//fk466STatm1b0sNReXz00Uf8+eefzJs3r6SHomysXbuW8ePHc//99/PII48wd+5cBg8eTEJCAtdee21JD0/l8tBDD5GamkqrVq1wu914vV6efPJJBg4cWNJDs3VMBhZ+edu2G2NKvJW7Cu/uu+9m8eLFzJw5s6SHovLYtGkT9957Lz/++COJiYklPRxlw+fz0aVLF5566ikAOnbsyD///MP48eM1sChlJk2axMSJE/nggw844YQTWLRoEUOGDKFevXpcd911JT28sI7JwKJGjRq43e58sxM7d+7MN4uhSod77rmHr776il9//ZUGDRqU9HBUHgsWLGDnzp107tw55z6v18uvv/7Kyy+/TEZGBm63uwRHqPzq1q1LmzZtgu5r3bo1kydPLqERqXD+/e9/8/DDD3PllVcC0K5dOzZs2MCYMWNKdWBxTOZYxMfH07lzZ3766aeg+3/66Sd69epVQqNSoRhjuPvuu/nss8+YOnUqTZs2LekhqRBOO+00lixZwqJFi3JuXbp0YdCgQSxatEiDilKkd+/e+bZsr1y5ksaNG5fQiFQ4hw8fxuUKvky73e5Sv930mJyxALj//vu55ppr6NKlCz179uS1115j48aN3H777SU9NJXLXXfdxQcffMCXX35J5cqVc2aZUlJSSEpKKuHRKb/KlSvny3upWLEi1atX13yYUua+++6jV69ePPXUU1x++eXMnTuX1157jddee62kh6byOP/883nyySdp1KgRJ5xwAgsXLmTs2LHceOONJT00e+YY9sorr5jGjRub+Ph406lTJzNjxoySHpLKAwh5e+utt0p6aCqCU045xdx7770lPQwVwtdff23atm1rEhISTKtWrcxrr71W0kNSIaSlpZl7773XNGrUyCQmJppmzZqZYcOGmYyMjJIemq1jto6FUkoppWLvmMyxUEoppVTR0MBCKaWUUjGjgYVSSimlYkYDC6WUUkrFjAYWSimllIoZDSyUUkopFTMaWCillFIqZjSwUEoppVTMaGChlFJKqZjRwEIppZRSMaOBhVJKKaViRgMLpZRSSsXM/wOLdibgjD5b5AAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(4):\n",
    "    idx,centros_all = run_kmeans(X,init_centros(X,k=3),iters=10)\n",
    "    plot_data(X,centros_all,idx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 案例2: 使用kmeans对图片颜色进行聚类\n",
    "## RGB图像，每个像素点值范围0-255\n",
    "8bit颜色->4bit颜色\n",
    "## 数据集：data/bird_small.mat，data/bird_small.png"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "dict_keys(['__header__', '__version__', '__globals__', 'A'])"
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = sio.loadmat('data/bird_small.mat')\n",
    "data.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "(128, 128, 3)"
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = data['A']\n",
    "A.shape # 128*128*3  3表示（r，g，b）\n",
    "# print(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'skimage'",
     "output_type": "error",
     "traceback": [
      "\u001B[1;31m---------------------------------------------------------------------------\u001B[0m",
      "\u001B[1;31mModuleNotFoundError\u001B[0m                       Traceback (most recent call last)",
      "Cell \u001B[1;32mIn[113], line 1\u001B[0m\n\u001B[1;32m----> 1\u001B[0m \u001B[38;5;28;01mfrom\u001B[39;00m \u001B[38;5;21;01mskimage\u001B[39;00m \u001B[38;5;28;01mimport\u001B[39;00m io\n",
      "\u001B[1;31mModuleNotFoundError\u001B[0m: No module named 'skimage'"
     ]
    }
   ],
   "source": [
    "from skimage import io"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "image = io.imread('data/bird_small.png')\n",
    "plt.imshow(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(16384, 3)\n"
     ]
    }
   ],
   "source": [
    "# print(A)\n",
    "A = A / 255\n",
    "# print(A)\n",
    "A = A.reshape(-1,3) # 所以reshape(-1,1)表示（任意行，1列）\n",
    "print(A.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.image.AxesImage at 0x21d55587af0>"
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k = 16\n",
    "idx,centros_all = run_kmeans(A,init_centros(A,k=16),iters=20)\n",
    "centros = centros_all[-1]\n",
    "im = np.zeros(A.shape)\n",
    "for i in range(k):\n",
    "    im[idx==i] = centros[i]\n",
    "im = im.reshape(128,128,3)\n",
    "plt.imshow(im)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
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